{"id":354,"date":"2023-07-06T00:53:57","date_gmt":"2023-07-06T00:53:57","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%82%d0%be%d0%b6%d0%b4%d0%b5%d1%81%d1%82%d0%b2%d0%b0-%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%b5%d0%b4%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8%d0%b7%d0%b2%d0%b5%d1%81%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0\/"},"modified":"2023-07-06T00:53:57","modified_gmt":"2023-07-06T00:53:57","slug":"%d1%82%d0%be%d0%b6%d0%b4%d0%b5%d1%81%d1%82%d0%b2%d0%b0-%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%b5%d0%b4%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8%d0%b7%d0%b2%d0%b5%d1%81%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%82%d0%be%d0%b6%d0%b4%d0%b5%d1%81%d1%82%d0%b2%d0%b0-%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%b5%d0%b4%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8%d0%b7%d0%b2%d0%b5%d1%81%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0\/","title":{"rendered":"\u0418\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b)"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0442\u0438\u043f\u043e\u0432 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432). \u0412\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u0441\u0435\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u044d\u0442\u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0438\u0442\u044b\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430.<\/p>\n<p> \ud83d\udc49\ud83d\udc49 \u041d\u0438\u0436\u0435 \u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u043a\u0430\u0436\u0434\u043e\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e, \u043d\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0438\u0442\u0430\u0435\u0442\u0435, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043d\u0435\u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u043a <strong><span style=\"text-decoration: underline;\"> \u0442\u0430\u0431\u043b\u0438\u0446\u0435 \ud83d\ude09, \u0433\u0434\u0435 \u0441\u0432\u0435\u0434\u0435\u043d\u044b \u0432\u0441\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b <\/span><\/strong> . \ud83d\udc48\ud83d\udc48 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-identidades-notables-o-productos-notables\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0417\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430<\/strong> , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0435 <strong>\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c\u0438<\/strong> \u0438\u043b\u0438 <strong>\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\u043c\u0438<\/strong> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0442 \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e \u0440\u0435\u0448\u0430\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438.<\/p>\n<p> \u041d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u043c\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f <em>\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b<\/em> , <em>\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f)<\/em> \u0438 <em>\u0441\u0443\u043c\u043c\u0430, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c<\/em> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/identites-produits-ou-egalites-notables.png\" alt=\"\u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0438\u043b\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432\" class=\"wp-image-2751\" width=\"281\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041d\u043e \u043d\u0438\u0436\u0435 \u043c\u044b \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0443\u0447\u0438\u043c \u0432\u0430\u0441 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u044d\u0442\u0438 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f, \u043d\u043e \u0438 \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c \u0432\u0441\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0442\u0438\u043f\u044b \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-de-las-identidades-o-productos-notables\"><\/span> \u0418\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b (\u0438\u043b\u0438 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b) \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439 (\u0438\u043b\u0438 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432), \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0432\u0430\u0441 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0442 \u0434\u0435\u043c\u043e-\u0432\u0435\u0440\u0441\u0438\u0438 \u0444\u043e\u0440\u043c\u0443\u043b, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0438\u0445 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043d\u0430\u0436\u0430\u0432 \u043a\u043d\u043e\u043f\u043a\u0443 \u00ab\u041f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0434\u0435\u043c\u043e\u00bb.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-una-suma\"><\/span> \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b<\/strong> \u0438\u043b\u0438 <strong>\u0441\u0443\u043c\u043c\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435<\/strong> \u2014 \u043e\u0434\u043d\u043e \u0438\u0437 \u0432\u0430\u0436\u043d\u0435\u0439\u0448\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. \u0422\u043e\u0447\u043d\u0435\u0435, \u044d\u0442\u043e \u0431\u0438\u043d\u043e\u043c \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2, \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0433\u043e \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e <strong>(a+b) <sup>2<\/sup><\/strong> .<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-le-carre-dune-somme.png\" alt=\"\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0441 \u0441\u0443\u043c\u043c\u043e\u0439\" class=\"wp-image-2339\" width=\"274\" height=\"275\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0415\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430, \u043f\u043e\u0432\u044b\u0448\u0435\u043d\u043d\u043e\u0433\u043e \u0434\u043e 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef98ef741811c17cd99e75e5f848ea69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u044b\u0448\u0435 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u0441\u0430\u043c\u043e \u043d\u0430 \u0441\u0435\u0431\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b2df207ac593eaf04ac60ac40b89a7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=(a+b)\\cdot (a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c871c4ad6546c817128379acbef78c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a+b) &amp; = a\\cdot a +a\\cdot b +b\\cdot a +b\\cdot b \\\\[2ex] &amp;=a^2+ab+ba+b^2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"325\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0437 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7202c73e2795274765d7f01eefc3e3f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e095edd42169777a1290a880eecae4ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ba\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u043e\u0445\u043e\u0436\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0438\u0445:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b645fb320040c599e077b3e5bdc4b407_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ba+b^2 = a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"256\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u0441\u0442\u043e\u043b\u044c\u043a\u043e, \u0447\u0442\u043e \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0438\u0448\u043b\u0438 \u043a \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b, \u0434\u043b\u044f \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0430 \u0432\u044b\u0432\u043e\u0434\u0438\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66c4071b50f376018a8ac9b6f3f9f5fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2= a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041b\u044e\u0431\u043e\u043f\u044b\u0442\u043d\u043e, \u0447\u0442\u043e \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u043c \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u043c.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0422\u0430\u043a \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0435 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b, \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043a\u0430\u0436\u0434\u043e\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043a \u043e\u0431\u043e\u0438\u043c, \u043d\u043e, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0434\u0432\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430 \u0438 \u043d\u0430 2. \u0412\u0430\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c \u043e\u0431 \u044d\u0442\u043e\u043c, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u0447\u0435\u043d\u044c \u0442\u0438\u043f\u0438\u0447\u043d\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430 \u0442\u0430\u043a\u043e\u0433\u043e \u0442\u0438\u043f\u0430. \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430 \u041f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0437\u0430\u0431\u044b\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0435\u0440\u043c\u0438\u043d. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polynomes-au-carre-dune-somme.jpg\" alt=\"\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0435 \u0438 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\" class=\"wp-image-2342\" width=\"246\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a9b2aa575ef7fa83e8bb98cbb385ac8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b \u0442\u0430\u043a\u043e\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0430\u0440\u044b \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043d\u043e\u043c\u0435\u0440\u0443 5:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ba75b0f34f956985ea0163011a03acf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^2\\\\[2ex] (x+5)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0442\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produits-notables-au-carre-dune-somme.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\" class=\"wp-image-2349\" width=\"284\" height=\"164\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-una-diferencia\"><\/span> \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u0438\u0446\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u0438\u0446\u044b<\/strong> , \u0438\u043b\u0438 <strong>\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u0438\u0446\u044b<\/strong> , \u2014 \u0435\u0449\u0435 \u043e\u0434\u043d\u043e \u0438\u0437 \u0442\u0440\u0435\u0445 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0445 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u043e\u043d \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0431\u0438\u043d\u043e\u043c\u0443, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u043c\u0443 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c \u0438 \u0434\u0440\u0443\u0433\u0438\u043c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u043c \u0432 \u0447\u0438\u0441\u043b\u043e 2, \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0433\u043e \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e <strong>(ab) <sup>2<\/sup><\/strong> .<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f) \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-du-carre-dune-difference-ou-soustraction.png\" alt=\"\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435\" class=\"wp-image-2407\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e-\u0432\u0435\u0440\u0441\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418\u0437 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f88949b2f3fcc20e9d00f495e471cf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0440\u0430\u0432\u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u0441\u0430\u043c\u043e \u043d\u0430 \u0441\u0435\u0431\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5786e5179724339feaef50ccdb33ead1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2= (a-b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0443\u043c\u043d\u043e\u0436\u0438\u043c \u0434\u0432\u0435 \u0441\u043a\u043e\u0431\u043a\u0438, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b46073fd758d93fff8956f0a8dd57af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(a-b)\\cdot (a-b) &amp; = a\\cdot a +a\\cdot (-b) - b\\cdot a - b \\cdot (-b) \\\\[2ex] &amp; = a^2-ab-ba+b^2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435, \u0447\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68a1e26dd180891fc1ee31584a471ca9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-ab-ba+b^2 = a^2-2ab +b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"256\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u043e\u0433\u0434\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0434\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0422\u0430\u043a \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e \u043c\u0438\u043d\u0443\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0435 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e.<\/p>\n<p> \u0427\u0442\u043e \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b, \u0442\u043e \u043d\u0435\u043b\u044c\u0437\u044f \u0437\u0430\u0431\u044b\u0442\u044c \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0441\u0440\u0435\u0434\u043d\u0438\u0439 \u0447\u043b\u0435\u043d \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0442\u0430\u043a \u043a\u0430\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435\u0432\u0435\u0440\u043d\u043e: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-du-binome-d-une-soustraction.jpg\" alt=\"\u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0435 \u043e\u0448\u0438\u0431\u043a\u0438 \u0432 \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438\" class=\"wp-image-2409\" width=\"246\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c639502958a3e7b758e74eda141cd322_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043d\u043e\u043c\u0435\u0440\u0443 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bb2d14a30d2cdabae6458f5df32392a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^2\\\\[2ex] (x-3)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0437\u043d\u0430\u043a \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0447\u0430\u0441\u0442\u044c\u044e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043d\u043e \u0434\u043b\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u043d\u0443\u0436\u043d\u043e \u0431\u0440\u0430\u0442\u044c \u0447\u0438\u0441\u043b\u043e \u0431\u0435\u0437 \u0437\u043d\u0430\u043a\u0430.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u044d\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0440\u0435\u0448\u0438\u0442\u044c \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-soustraction-au-carre-exercices-resolus.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\" class=\"wp-image-2417\" width=\"299\" height=\"173\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-por-diferencia\"><\/span> \u0441\u0443\u043c\u043c\u0430 \u043f\u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0435<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u0438 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438<\/strong> \u2014 \u043e\u0434\u043d\u043e \u0438\u0437 \u0442\u0440\u0435\u0445 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. \u041a\u0430\u043a \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0438\u0437 \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u044f, \u044d\u0442\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0431\u0438\u043d\u043e\u043c, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u044b\u0439 \u043d\u0430 \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0439 \u0441 \u043d\u0438\u043c \u0431\u0438\u043d\u043e\u043c (\u0442\u043e\u0442 \u0436\u0435 \u0431\u0438\u043d\u043e\u043c, \u043d\u043e \u0441 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u043c \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c), \u0442\u043e \u0435\u0441\u0442\u044c \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>(a +b) \u00b7 (ab)<\/strong> .<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0442\u0430\u043a\u043e\u0432\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-de-la-somme-par-la-difference.png\" alt=\"\u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438, \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b \u0438 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0448\u043a\u043e\u043b 2, 3 \u0438 4, \u043a\u043e\u0442\u043e\u0440\u044b\u0435\" class=\"wp-image-2278\" width=\"247\" height=\"248\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043b\u044e\u0431\u044b\u0445 \u0434\u0432\u0443\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-226e878dd6855cddf50e1bd6eeed0eab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043f\u0435\u0440\u0432\u0443\u044e \u0441\u043a\u043e\u0431\u043a\u0443 \u043d\u0430 \u0432\u0442\u043e\u0440\u0443\u044e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-346d3d7ca4da1e71fad52c84a33ef4fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}(a+b)\\cdot (a-b)= \\\\[2ex] = a\\cdot a +a\\cdot (-b) +b \\cdot a +b\\cdot (-b) =\\\\[2ex] = a^2 -ab+ba-b^2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"91\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u0443\u0435\u043c \u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc83a078573a59dfd63c1a7cdad77e01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2 -ab+ba-b^2=a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"209\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043c\u044b \u0434\u043e\u0431\u0438\u043b\u0438\u0441\u044c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d \u0440\u0430\u0432\u043d\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u044d\u0442\u0438\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u043f\u0443\u0442\u0435\u043c \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u0434\u0432\u0443\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0438 \u0438\u0445 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044e.<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4306df75f7e6d774f71a001d93d0a830_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u044b\u0448\u0435, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u0441\u0443\u043c\u043c\u044b, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c, \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0431\u0443\u043a\u0432<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043d\u043e\u043c\u0435\u0440\u0443 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-87b76b09924467ba75f033336e6a18e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)\\cdot (a-b) \\\\[2ex] (x+2)\\cdot (x-2) \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u043a\u0430\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u044e\u0442 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-un-trinomio\"><\/span>\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430<\/strong> (\u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0435\u0433\u043e \u0438\u0437 \u0442\u0440\u0435\u0445 \u0447\u043b\u0435\u043d\u043e\u0432) \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0435 \u043f\u043b\u044e\u0441 \u0443\u0434\u0432\u043e\u0435\u043d\u043d\u043e\u0435 \u043f\u0435\u0440\u0432\u043e\u0435 \u043d\u0430 \u0442\u0440\u0435\u0442\u044c\u0435, \u043f\u043b\u044e\u0441 \u0434\u0432\u0430\u0436\u0434\u044b \u0432\u0442\u043e\u0440\u043e\u0435 \u0437\u0430 \u0442\u0440\u0435\u0442\u044c\u0435. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-dun-trinome.png\" alt=\"\u041a\u0430\u043a\u043e\u0432\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u0441\u0435\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u0438\u043b\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432?\" class=\"wp-image-2847\" width=\"362\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e-\u0432\u0435\u0440\u0441\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418\u0437 \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379affdd0954c4ca08ed08041e0eb7b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u044b\u0448\u0435 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u044b\u0439 \u0441\u0430\u043c \u043d\u0430 \u0441\u0435\u0431\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8944601270bfee61c23bb9440e7fd79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2 = (a+b+c)(a+b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0440\u0435\u0448\u0430\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ceaddc98a341af8c426098e15affbe7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)(a+b+c)= a^2+ab+ac+ba+b^2+bc+ca+cb+c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"505\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u0443\u0435\u043c \u0441\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79d99fd9567501331249064ee77e6db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ac+ba+b^2+bc+ca+cb+c^2 = a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"576\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0438\u0448\u043b\u0438 \u043a \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ee4db6a5192b7efea2342d21275e487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0438 \u0432\u043e \u0432\u0441\u0435\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\u0445, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435. \u0412 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55e06f44486e75e9153a60d36e83bc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2+x+3\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=x \\\\[2ex] c=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u044d\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-trinome-au-carre.png\" alt=\"\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\" class=\"wp-image-2850\" width=\"643\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Identidades-o-productos-notables-al-cubo\"><\/span> \u0418\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b) \u0432 \u043a\u0443\u0431\u0435<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0438\u0437\u0443\u0447\u0438\u043b\u0438 \u0432\u0441\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u0442\u043e \u0435\u0441\u0442\u044c \u0432\u0441\u0435 \u0442\u0438\u043f\u044b \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u043c\u0438 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 2. \u0427\u0442\u043e \u0436, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0441\u043e\u0431\u0438\u0440\u0430\u0435\u043c\u0441\u044f \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0432 \u043a\u0443\u0431\u0435. \u041a\u043e\u043d\u0435\u0447\u043d\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0441\u043b\u043e\u0436\u043d\u0435\u0435, \u043d\u043e \u043e\u043d\u0438 \u0442\u043e\u0436\u0435 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u044b.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-suma\"><\/span> \u043a\u0443\u0431 \u0441\u0443\u043c\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0417\u0430\u043c\u0435\u0442\u043d\u044b\u043c <strong>\u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u0441\u0443\u043c\u043c\u044b<\/strong> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0431\u0438\u043d\u043e\u043c (\u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0442\u043e\u043b\u044c\u043a\u043e \u0441 \u0434\u0432\u0443\u043c\u044f \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438) \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3, \u0434\u0432\u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438 \u043a\u0443\u0431 \u0441\u0443\u043c\u043c\u044b \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u043a\u0430\u043a <strong>(a+b) <sup>3<\/sup><\/strong> .<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043a\u0443\u0431\u0430 \u0441\u0443\u043c\u043c\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-somme-ou-somme-au-cube-formule.png\" alt=\"\u041a\u0430\u043a\u043e\u0432\u044b \u0432\u0441\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b, \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u0441\u0432\u044f\u0437\u0438?\" class=\"wp-image-2810\" width=\"280\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430 \u0432 \u043a\u0443\u0431\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-380239d5f1b18e11f3b6b0931a4f14d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0448\u0435\u0443\u043f\u043e\u043c\u044f\u043d\u0443\u0442\u0443\u044e \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u044c \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u043e \u043f\u043b\u043e\u0449\u0430\u0434\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d89c1125bf18f5ec3b34a3bc8e4de45b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3=(a+b)\\cdot (a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\u0445, \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0415\u0435 \u043c\u043e\u0436\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b1c6920425dd90a9526a1eaccf056b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a+b)^2=(a+b)\\cdot (a^2+2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432\u043c\u0435\u0441\u0442\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06771ecbb13542eae2a68477f849d729_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a^2+2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot 2ab + a\\cdot b^2+b\\cdot a^2 +b\\cdot 2ab +b \\cdot b^2 \\\\[2ex] &amp; = a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"555\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27d0da0e0e3ce760508c47f425fd1d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 = a^3+3a^2b+3ab^2+b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0441\u0443\u043c\u043c\u044b \u0431\u0438\u043d\u043e\u043c\u0430 \u0432 \u043a\u0443\u0431\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0441\u0443\u043c\u043c\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0432 \u0447\u0438\u0441\u043b\u043e 3, \u0440\u0430\u0432\u043d\u0430 \u043a\u0443\u0431\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043f\u043b\u044e\u0441 \u0442\u0440\u0438\u0436\u0434\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0439, \u043f\u043b\u044e\u0441 \u0442\u0440\u0438\u0436\u0434\u044b \u043f\u0435\u0440\u0432\u044b\u0439 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043b\u044e\u0441 \u043a\u0443\u0431 \u0432\u0442\u043e\u0440\u043e\u0433\u043e.<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u0443\u043c\u043c\u044b, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b6665bb45814802bf3d7dbb8b68c771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435 \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0431\u0438\u043d\u043e\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3, \u0434\u0432\u0430 \u0447\u043b\u0435\u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u0443\u043c\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u043d\u043e\u043c\u0435\u0440 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-909b3b4a2f976c165f160a6765b3ed9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^3\\\\[2ex] (x+2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0442\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435, \u0437\u0430\u043c\u0435\u043d\u044f\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dun-binome-somme-et-difference-au-cube.jpg\" alt=\"10 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432 \u0438\u043b\u0438 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439\" class=\"wp-image-2468\" width=\"419\" height=\"168\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-diferencia\"><\/span> \u043a\u0443\u0431 \u0440\u0430\u0437\u043d\u0438\u0446\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041a\u0443\u0431 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438<\/strong> , \u0438\u043b\u0438 <strong>\u043a\u0443\u0431 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f<\/strong> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u043d\u043e\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3, \u0438\u043c\u0435\u044e\u0449\u0438\u0439 \u0447\u043b\u0435\u043d \u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c. \u0418\u0442\u0430\u043a, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430: <strong>(ab) <sup>3<\/sup><\/strong> .<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0443\u0431\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f): <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-soustraction-de-difference-de-la-formule-du-cube.png\" alt=\"\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\" class=\"wp-image-2811\" width=\"279\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0421\u043c. \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436\u0435 \u043d\u0430 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0432 \u043a\u0443\u0431. \u041d\u043e \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u043c \u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a48c875098bfee5d50068c1f0e7296d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042f\u0441\u043d\u043e, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0435 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u044b\u0439 \u043d\u0430 \u0435\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ada6004c3907e554bc5bde167ff16a0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3=(a-b)\\cdot (a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043a\u0430\u043a \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u0431\u0438\u043d\u043e\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0415\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2570ca2db47f67aa0eaf670615e2743_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\\cdot (a-b)^2=(a-b)\\cdot (a^2-2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-627a273de8fff974f4a14a32fcee90b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a-b)\\cdot (a^2-2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot (-2ab) + a\\cdot b^2-b\\cdot a^2 -b\\cdot (-2ab)-b \\cdot b^2 \\\\[2ex] &amp; = a^3-2a^2b+ab^2-ba^2+2ab^2-b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"610\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u0448\u0430\u0433 \u2014 \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62f63e77f52ddb89cdd2e650938edb82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-2a^2b+ab^2-ba^2+2ab^2-b^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0432\u044b\u0447\u0442\u0435\u043d\u043d\u043e\u0433\u043e \u0431\u0438\u043d\u043e\u043c\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0432 \u043a\u0443\u0431: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0430\u0437\u043d\u0438\u0446\u0430 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435), \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u043d\u0430\u044f \u0434\u043e \u0442\u0440\u0435\u0445, \u0440\u0430\u0432\u043d\u0430 \u043a\u0443\u0431\u0443 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u0438\u043d\u0443\u0441 \u0442\u0440\u0438 \u0440\u0430\u0437\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043d\u0430 \u0432\u0442\u043e\u0440\u043e\u0439 \u043f\u043b\u044e\u0441 \u0442\u0440\u0438 \u0440\u0430\u0437\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u0438\u043d\u0443\u0441 \u043a\u0443\u0431 \u0432\u0442\u043e\u0440\u043e\u0433\u043e.<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440:<\/h4>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0431\u0438\u043d\u043e\u043c (\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c), \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb0dbc34da8cea6a7d6622c9a3c5faba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x-2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043f\u0430\u0440\u0430 \u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u043c \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u043c. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-746a96ec30fac619eedf62054c377fe5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2 -b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430, \u043a\u0430\u043a \u0432\u0441\u0435\u0433\u0434\u0430, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043c\u043e\u043d\u043e\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bcea841b93e6d1c6150bf94b4036ab3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c \u0431\u0438\u043d\u043e\u043c\u0430, \u0442.\u0435. 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a792ec6dead8466ec6a2cb2a43d9fab4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^3\\\\[2ex] (3x-2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=3x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u043e\u0441\u0442\u043e \u0440\u0430\u0432\u043d\u043e 2, \u0431\u0435\u0437 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u043a\u0430 \u0447\u0438\u0441\u043b\u0430. \u0412\u0430\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c \u043e\u0431 \u044d\u0442\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443.<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e, \u043f\u043e\u043c\u0435\u0449\u0430\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-cube-negatif-parfait.jpg\" alt=\"\u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u0442\u044c \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\" class=\"wp-image-2476\" width=\"501\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tabla-resumen-de-las-identidades-notables\"><\/span> \u0421\u0432\u043e\u0434\u043d\u0430\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u0430 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u043e\u0434\u0432\u043e\u0434\u044f \u0438\u0442\u043e\u0433, \u043c\u044b \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u043b\u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u044f\u043c\u0438 (\u0438\u043b\u0438 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430\u043c\u0438), \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u0430\u043c \u0431\u044b\u043b\u043e \u043b\u0435\u0433\u0447\u0435 \u0438\u0445 \u0438\u0437\u0443\u0447\u0438\u0442\u044c. \ud83d\ude09 <\/p>\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"525\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formules-des-identites-produits-ou-egalites-remarquables.png\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432 \u0438\u043b\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439\" class=\"wp-image-2808\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-identidades-o-productos-notables\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u044f\u043c\u0438 (\u0438\u043b\u0438 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430\u043c\u0438)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043e\u043a\u043e\u043d\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u043e\u043d\u044f\u043b\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0445 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c\u0438 \u0438\u043b\u0438 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430\u043c\u0438, \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0438\u0445 \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c, \u0430 \u0437\u0430\u0442\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0445\u043e\u0440\u043e\u0448\u043e \u043b\u0438 \u0432\u044b \u0441\u043f\u0440\u0430\u0432\u0438\u043b\u0438\u0441\u044c \u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439.<\/p>\n<p class=\"has-text-align-center\"> \u2b07\u2b07 \u041d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0432\u0441\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0449\u0438\u0435 \u0432\u0430\u0441 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u043d\u0430\u043c \u043d\u0438\u0436\u0435 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445! \u2b07\u2b07<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0420\u0430\u0441\u043a\u0440\u043e\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 (\u0441\u0443\u043c\u043c\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9229e4ae2034182594cea6b72883a61e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-837ba9382325be793705fe7f068579be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (6x+2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55d230fdf4d87dfb39f5427089c4bcd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x^2+7\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8858ec9b4957c47679e682ab433bd75d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+8y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412\u0441\u0435 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u044b \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u0445, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043e\u0434\u043d\u0443 \u0438 \u0442\u0443 \u0436\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-571dada676a093b9b625887a09615b5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+3)^2&amp; =x^2+2\\cdot x\\cdot 3 +3^2\\\\[2ex] &amp; = \\bm{x^2+6x +9}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-067fdf38612ca481db587bda479cab24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(6x+2)^2 &amp; =(6x)^2+2\\cdot 6x \\cdot 2+2^2\\\\[2ex] &amp; = \\bm{36x^2+24x+4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62f7ef68fc47d45958f6a10dbfe3f512_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(x^2+7\\right)^2 &amp; = \\left(x^2\\right)^2+2\\cdot x^2\\cdot 7 +7^2\\\\[2ex] &amp; = \\bm{x^4+14x^2 +49}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fdf798e7d585cdbc2bbeb0417bfc62a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+8y)^2 &amp; =(5x)^2+2\\cdot 5x\\cdot 8y +(8y)^2\\\\[2ex] &amp; = \\bm{25x^2+80xy+64y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"331\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b (\u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c11a4f53553874acb14ec9bbd0c78d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x-2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55330f15a13171e004a6fd9063b5042d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (3-7x)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a9afedffeffbe27f4e9c5d94b2bcad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x^2-6\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f96b2af0d8ddde63f0f5ff04acde9e8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (-3x+y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412\u0441\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0432 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14d502eda968fe82617b4403cd9c4722_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x-2)^2&amp; =x^2-2\\cdot x\\cdot 2 +2^2\\\\[2ex] &amp; = \\bm{x^2-4x +4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c22d520301280872e645f5683a2fba8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(3-7x)^2 &amp; =3^2-2\\cdot 3\\cdot 7x +(7x)^2\\\\[2ex] &amp; = \\bm{9-42x+49x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95c7c481a96b20b700bd2253c90f0c0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(x^2-6\\right)^2 &amp; = \\left(x^2\\right)^2-2\\cdot x^2\\cdot 6 +6^2\\\\[2ex] &amp; = \\bm{x^4-12x^2 +36}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cea9fa89580d3d9d9df7fd93cca2b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(-3x+y)^2 &amp; = (y-3x)^2 \\\\[2ex] &amp; = y^2-2\\cdot y\\cdot 3x +(3x)^2\\\\[2ex] &amp; = \\bm{y^2-6yx+9x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"304\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u0420\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (\u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a101dc0bb3e2ab901e5a441cdb22369_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+5)(x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a3cc5a2bfc3829e05fbf0cc6fd4dea9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+6)(2x-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5b3b43f8e1142337f367f44c27632578_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (x+7)(x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80db9b8cb45a16f2c4b4dd810f0ef940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (x-4y)(x+4y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u0432 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0441\u0443\u043c\u043c \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u0432\u0441\u0435 \u043e\u043d\u0438 \u0440\u0435\u0448\u0430\u044e\u0442\u0441\u044f \u043f\u043e \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-826c4aec8f005514a14cdc8555c084c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+5)(x-5) &amp;=x^2-5^2\\\\[2ex] &amp; = \\bm{x^2-25}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6793239af84413fb9408c2cb6033e5ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(2x+6)(2x-6) &amp; =(2x)^2-6^2 \\\\[2ex] &amp; = \\bm{4x^2-36}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"260\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-630b94cf4be27c5f7b9c87651368634d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}(x+7)(x-7) &amp; =x^2-7^2 \\\\[2ex] &amp; = \\bm{x^2-49}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80c5451e407a2c0e670c6cb22a74043c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(x-4y)(x+4y) &amp; =(x+4y)(x-4y) \\\\[2ex] &amp; =x^2-(4y)^2\\\\[2ex] &amp; = \\bm{x^2-16y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"310\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0432\u0441\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f11abde1a676c9efe0dee6544ec7dd35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+10\\right)\\left(x^2-10\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"177\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d91f0bc70f84a13bc544db52068d89d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(4x^2+2y^3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e13ca38c8d8b96d56e5c72d75ab1db90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(6x^3-4y^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33d63537ffb97df07d85a50a5bd46561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"193\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d4df947d503beab8b2af90de2d8d605_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\left(5x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"118\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c65875e01d82840e30ae85d803d45e90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(x^2+10\\right)\\left(x^2-10\\right) &amp; =\\left(x^2\\right)^2-10^2\\\\[2ex] &amp; = \\bm{x^4-100}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04e0bcf5df362d320cfdb2f87cdc6ddc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(4x^2+2y^3\\right)^2 &amp; =\\left(4x^2\\right)^2+2\\cdot 4x^2\\cdot 2y^3 +\\left(2y^3\\right)^2\\\\[2ex] &amp; = \\bm{16x^4+16x^2y^3+4y^6}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"383\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc3f7dc61f7c44a60c01e0a95de278fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(6x^3-4y^4\\right)^2 &amp;  =\\left(6x^3\\right)^2-2\\cdot 6x^3\\cdot 4y^4 +\\left(4y^4\\right)^2 = \\\\[2ex] &amp;= \\bm{36x^6-48x^3y^4+16y^8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4d4a0c86d26820881eb65cb92c3679a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}\\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right) &amp; =\\left(8x^3\\right)^2-\\left(y^2\\right)^2 \\\\[2ex] &amp; = \\bm{64x^6-y^4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-432c4ae0f050bec15e3fa52f426698ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\begin{aligned}\\left(5x^2-9x\\right)^2 &amp; =\\left(5x^2\\right)^2-2\\cdot 5x^2\\cdot 9x +\\left(9x\\right)^2 \\\\[2ex] &amp; = \\bm{25x^4-90x^3+81x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"360\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca75501df4056045f750323893bee27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+4)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1ae5aad30adde91e86d6bb696b6adc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2-5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-debc2fbed1f43204a1d3b191ce697175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(2x-1\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-641ad931932e2d32742c712339a76903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0432\u0441\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0441\u0443\u043c\u043c\u044b \u0438 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0445 \u0432 \u043a\u0443\u0431 \u043f\u043e \u0441\u043b\u0443\u0447\u0430\u044f\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14695fb807e2df89352fdd1c1dced2ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+4)^3&amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 4^2+4^3\\\\[2ex] &amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 16+64 \\\\[2ex] &amp; = \\bm{x^3+12x^2+48x+64}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"342\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5be0d584351feb0bef5572ca5c9e159a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(x^2-5\\right)^3&amp; =\\left(x^2\\right)^3-3\\cdot \\left(x^2\\right)^2\\cdot 5 +3\\cdot x^2\\cdot 5^2-5^3\\\\[2ex] &amp; =x^6-3\\cdot x^4\\cdot 5 +3\\cdot x^2\\cdot 25-125 \\\\[2ex] &amp; = \\bm{x^6-15x^4+75x^2-125}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f44f9c3283dad97321644c6e559f64ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(2x-1\\right)^3&amp; =\\left(2x\\right)^3-3\\cdot \\left(2x\\right)^2\\cdot 1 +3\\cdot 2x\\cdot 1^2-1^3\\\\[2ex] &amp; =8x^3-3\\cdot 4x^2\\cdot 1 +3\\cdot 2x\\cdot 1-1 \\\\[2ex] &amp; = \\bm{8x^3-12x^2+6x-1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"401\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-156e7619e4d6ef129f04250af8197d2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+2)^3&amp; =(5x)^3+3\\cdot \\left(5x\\right)^2\\cdot 2 +3\\cdot 5x\\cdot 2^2+2^3\\\\[2ex] &amp; =125x^3+3\\cdot 25x^2\\cdot 2 +3\\cdot 5x\\cdot 4+8 \\\\[2ex] &amp; = \\bm{125x^3+150x^2+60x+8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 6<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1e2db1dacfd70bcdf33589968427633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+x+5\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"132\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6eddfbe2255cd7f5b8d829ff6aef4e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2+3x-4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"141\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-577a572f8974257e1d6d7b8411f75f4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(4x^2-6x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"150\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a26869f17cf7889324d3d5e6755b800_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(x^3-3x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"159\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0432\u0441\u0435 \u044d\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-749dc45e7a00d7122d62b774706bdcc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\left(x^2+x+5\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+x^2+5^2+2\\cdot x^2 \\cdot x + 2 \\cdot x^2 \\cdot 5 +2 \\cdot x \\cdot 5 = \\\\[2ex] = x^4+x^2+25+2x^3 + 10x^2 +10x = \\\\[2ex] = \\bm{x^4+2x^3+11x^2+10x+25} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"438\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1f51f18b3c1118b6e8e3acc3441b0ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(x^2+3x-4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(3x)^2+(-4)^2+2\\cdot x^2 \\cdot 3x + 2 \\cdot x^2 \\cdot (-4) +2 \\cdot 3x \\cdot (-4) = \\\\[2ex] = x^4+9x^2+16+6x^3-8x^2-24x = \\\\[2ex] = \\bm{x^4+6x^3+x^2-24x+16} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"557\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49c6496bf684296d315fc96d9cb5857e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(4x^2-6x+3\\right)^2 = \\\\[2ex] = \\left(4x^2\\right)^2+(-6x)^2+3^2+2\\cdot 4x^2 \\cdot (-6x) + 2 \\cdot 4x^2 \\cdot 3 +2 \\cdot (-6x) \\cdot 3 = \\\\[2ex] = 16x^4+36x^2+9-48x^3+24x^2-36x = \\\\[2ex] = \\bm{16x^4-48x^3+60x^2-36x+9} \\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"570\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cd08035d8402c27c411bcf5b30216cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}  \\left(x^3-3x^2-9x\\right)^2 = \\\\[2ex] = \\left(x^3\\right)^2+\\left(-3x^2\\right)^2+(-9x)^2+2\\cdot x^3 \\cdot (-3x^2) + 2 \\cdot x^3 \\cdot (-9x) +2 \\cdot (-3x^2) \\cdot (-9x) = \\\\[2ex] = x^6+9x^4+81x^2-6x^5-18x^4+54x^3 = \\\\[2ex] = \\bm{x^6-6x^5-9x^4+54x^3+81x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"682\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 7<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0441 \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u0438 \u0434\u0440\u043e\u0431\u044f\u043c\u0438 (\u0432\u044b\u0441\u043e\u043a\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fa707460c7ffd54eac2fb73d35c6734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\displaystyle \\left(\\sqrt{2x}-\\sqrt{8x}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"35\" width=\"146\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bfc1a9172f021d35179b9df54d8a126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b432940794af539924a002fac6533134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"137\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47d530888455eb1be7950e4d42776002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\Bigl(9x^3+\\sqrt{5x}\\Bigr)\\Bigl(9x^3-\\sqrt{5x}\\Bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"230\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0420\u0430\u0437\u0434\u0435\u043b \u0410) \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043b\u044f \u0435\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0435\u043c\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043a\u043e\u0440\u0435\u043d\u044c \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442, \u0442\u043e \u043e\u043d \u0443\u043f\u0440\u043e\u0449\u0430\u0435\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-999e71bf062ea313780439abaf2b4295_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(\\sqrt{2x}-\\sqrt{8x}\\right)^2 &amp; =\\left(\\sqrt{2x}\\right)^2-2\\cdot \\sqrt{2x}\\cdot \\sqrt{8x} +\\left(\\sqrt{8x}\\right)^2\\\\[2ex] &amp; =2x-2\\sqrt{2x\\cdot 8x} +8x \\\\[2ex] &amp; = 10x-2\\sqrt{16x^2} \\\\[2ex] &amp;= 10x-2\\cdot 4x = \\\\[2ex] &amp; = 10x -8x \\\\[2ex] &amp; = \\bm{2x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"247\" width=\"444\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0430\u0437\u0434\u0435\u043b \u0411) \u043f\u043e\u0441\u0432\u044f\u0449\u0435\u043d \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044e \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435\u043c \u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b \u0438\u043c\u0435\u044e\u0442 \u0434\u0440\u043e\u0431\u043d\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b, \u0441 \u043a\u043e\u0442\u043e\u0440\u044b\u043c\u0438 \u044d\u0442\u043e \u0437\u043d\u0430\u0442\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435\u043c \u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0434\u0440\u043e\u0431\u0435\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24593bac7bd4a9837e1f18fef4f9c38e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right) &amp; \\displaystyle =\\left(\\frac{1}{2}x^2\\right)^2-\\left(\\frac{5}{3}x\\right)^2\\\\[4ex] \\displaystyle &amp; =\\frac{1^2}{2^2}x^4-\\frac{5^2}{3^2}x^2\\\\[4ex]\\displaystyle &amp; = \\mathbf{\\frac{1}{4}}\\bm{x^4-}\\mathbf{\\frac{25}{9}}\\bm{x^2} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 C) \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u0443, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0443\u044e \u0432 2, \u0438 \u0442\u0430\u043a\u0436\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0440\u043e\u0431\u0435\u0439. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043b\u044f \u0435\u0433\u043e \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0441\u0443\u043c\u043c\u044b \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u043f\u043b\u044e\u0441 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0434\u0440\u043e\u0431\u0435\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c50dcca740e334b34f746e71f4af826e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned} \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2 &amp; = \\left(\\frac{4}{3}x^2\\right)^2+2\\cdot \\frac{4}{3}x^2\\cdot \\frac{3}{2}x +\\left(\\frac{3}{2}x\\right)^2\\\\[2ex] &amp; = \\frac{4^2}{3^2}x^4+2\\cdot \\frac{12}{6}x^3 +\\frac{3^2}{2^2}x^2 \\\\[2ex] &amp;= \\frac{16}{9}x^4 +2\\cdot 2x^3+\\frac{9}{4}x^2 \\\\[2ex] &amp; = \\mathbf{\\frac{16}{9}} \\bm{x^4+4x^3+}\\mathbf{\\frac{9}{4}}\\bm{x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"222\" width=\"416\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0441\u0443\u043c\u043c\u044b, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c, \u0441 \u0438\u0440\u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u0441\u0443\u043c\u043c\u044b, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u0443, \u0430 \u0437\u0430\u0442\u0435\u043c \u0443\u043f\u0440\u043e\u0449\u0430\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c540e4315e9e84faaa2ff656c4eec21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}\\Bigl(9x^3+\\sqrt{5x}\\Bigr)\\Bigl(9x^3-\\sqrt{5x}\\Bigr) &amp; =\\Bigl(9x^3\\Bigr)^2-\\left(\\sqrt{5x}\\right)^2\\\\[2ex] &amp; = \\bm{81x^6-5x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-identidades-notables\"><\/span> \u0414\u0440\u0443\u0433\u0438\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0441\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u043b\u0438 \u0432\u044b\u0448\u0435, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u043c\u0438. \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0435\u0441\u0442\u044c \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432, \u043e \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0442\u0430\u043a\u0436\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u044b\u0445 \u0446\u0435\u043b\u0435\u0439.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-cubos\"><\/span> \u0441\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432<\/strong> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0431\u0438\u043d\u043e\u043c\u0443, \u0434\u0432\u0430 \u0447\u043b\u0435\u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0435\u0433\u043e \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u0442\u043e\u0447\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>a <sup>3<\/sup> +b <sup>3<\/sup><\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-somme-des-cubes.png\" alt=\"\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438, \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b \u0438\u043b\u0438 \u0441\u0432\u044f\u0437\u0438 \u0440\u0435\u0448\u0435\u043d\u044b\" class=\"wp-image-2663\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043c\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \u043d\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f, \u0432\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51a33d4fd52d94afa78abd4be81cf7f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"48\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043d\u044b\u043c (\u043d\u0435 \u0434\u0430\u0435\u0442 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e), \u0438 \u0447\u0438\u0441\u043b\u043e 8 \u0442\u043e\u0436\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71ce4de717d54a2fb6c3282de038913a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4171629bd68508074adfbf81cf982b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8=x^3+2^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"127\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \u043d\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f673c682dcdc4e38ce08e8a77cf4e7f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3 = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f30ea5f0f7ef1b89a16f1d00e54d063c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} x^3 +2^3 &amp; = (x+2)(x^2-x \\cdot 2 + 2^2) \\\\[2ex] &amp; = (x+2)(x^2-2x + 4) \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Diferencia-de-cubos\"><\/span>\u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043a\u0443\u0431\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435) \u043a\u0443\u0431\u043e\u0432<\/strong> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u043d\u043e\u043c, \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0438\u0439 \u0438\u0437 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0442\u043e\u0447\u043d\u044b. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 <strong>a <sup>3<\/sup> -b <sup>3<\/sup><\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-la-difference-ou-la-soustraction-de-cubes.png\" alt=\"\u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\u043c\u0438\" class=\"wp-image-2731\" width=\"305\" height=\"306\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0440\u0430\u0437\u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u044d\u0442\u043e\u0442 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0442\u0438\u043f \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u043a\u0430\u0442\u043e\u0440\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cb03de00c11c61a46f0473cac25b903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-27\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043a\u0430\u043a 27 \u0432\u0435\u0440\u043d\u043e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4379f1587711ba1048df5a84748d12da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{27} = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"64\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64a522b09529e310087510320b8c3ad6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-27=x^3-3^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432 \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0431\u0438\u043d\u043e\u043c\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52d5ddbcfea3f7d3d492b8f0ead32dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3  = (a-b)(a^2+ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-342a448f849bf2856ad9a5394733faeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} x^3 -3^3 &amp; = (x-3)(x^2+x \\cdot 3 + 3^2) \\\\[2ex] &amp; =(x-3)(x^2+3x + 9)  \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Producto-de-binomios-con-un-termino-comun\"><\/span> \u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u043e\u0432 \u0441 \u043e\u0431\u0449\u0438\u043c \u0447\u043b\u0435\u043d\u043e\u043c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u042d\u0442\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0431\u0438\u043d\u043e\u043c\u043e\u0432, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0431\u0449\u0438\u0439 \u0447\u043b\u0435\u043d, \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-deux-binomes-avec-un-terme-en-commun-2.png\" alt=\"\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430pdf\" class=\"wp-image-2793\" width=\"264\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0412\u043e\u0442 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u0430\u043a\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8447db6a2246c09b2e7be29f8050a3d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (x+4)(x+5) &amp;= x^2+(4+5)x+4\\cdot 5 \\\\[2ex] &amp; = x^2+9x+20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"286\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mas-identidades\"><\/span> \u0431\u043e\u043b\u044c\u0448\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0425\u043e\u0442\u044f \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u044b, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0430\u043a\u0436\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0438\u043c\u0435\u043d\u0430\u043c\u0438. \u0412\u043e\u0442 \u0441\u043f\u0438\u0441\u043e\u043a \u0434\u0440\u0443\u0433\u0438\u0445 \u043c\u0435\u043d\u0435\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439, \u0435\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u0422\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u041b\u0430\u0433\u0440\u0430\u043d\u0436\u0430:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a9d12f9a33e8194fbe48dde93ca8918_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a^2+b^2)\\cdot (x^2+y^2) =(ax+by)^2+(ay-bx)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-439c16d816ff61c2ac4a3c73f04b9a5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a^2-b^2)\\cdot (x^2-y^2) =(ax+by)^2-(ay+bx)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u041b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 \u041b\u0435\u0436\u0430\u043d\u0434\u0440\u0430:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb371e0857e9b183bb1db9c370d7b779_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2+(a-b)^2=2(a^2+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"240\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b82bb4daacd22465587454eb1ec9350_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2-(a-b)^2=4ab\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"191\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc07e405f725019198b41ee5054a97af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4-(a-b)^4=8ab(a^2+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u041b\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u0410\u0440\u0433\u0430\u043d\u0434\u0430:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c8de9c0bcd37989daee33145b0d84cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+x+1)(x^2-x+1) = x^4+x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"297\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">\u0413\u0430\u0443\u0441\u0441\u043e\u0432\u044b \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7ad1a682cc650b01984e4a1d9ec2774_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3+c^3-3abc= (a+b+c)(a^2+b^2+c^2-ab-bc-ac)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"470\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6b2da7d99ade85355a54bee45b79a9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3+c^3-3abc= \\frac{1}{2} (a+b+c)\\left[(a-b)^2+(b-c)^2+(a-c)^2\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"499\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<\/ul>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-de-las-identidades-notables\"><\/span> \u0418\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u043b\u044f \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0448\u043b\u0438 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u043a\u043e, \u0437\u043d\u0430\u0447\u0438\u0442, \u0432\u044b \u0443\u0436\u0435 \u0443\u043c\u0435\u0435\u0442\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0441 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u044f\u043c\u0438. \u042f\u0440\u043a\u0438\u0439! \u041d\u043e \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435\u2026 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043d\u0443\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438? \u0418 \u043a\u043e\u0433\u0434\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438?<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435, \u043e\u0441\u043d\u043e\u0432\u043d\u0430\u044f \u0446\u0435\u043b\u044c \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432 \u2014 \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f. \u0422\u043e \u0435\u0441\u0442\u044c \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430\u043c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e \u0440\u0435\u0448\u0430\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439.<\/p>\n<p> \u041d\u043e \u0443 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432 \u0435\u0441\u0442\u044c \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0438\u0437 \u0447\u0435\u0433\u043e \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u043a\u0430\u0436\u0434\u043e\u0435 \u0438\u0437 \u044d\u0442\u0438\u0445 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0439. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u043d\u0433 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u0447\u0435\u043d\u044c \u0441\u043f\u0435\u0446\u0438\u0444\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0442\u0438\u043f\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043c\u043e\u0436\u043d\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0441 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\u043c\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d, \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0438\u0439 \u0438\u0437 \u0434\u0432\u0443\u0445 \u0447\u043b\u0435\u043d\u043e\u0432, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e\u043b\u043d\u044b\u043c\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430\u043c\u0438 (\u0438\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438 \u0442\u043e\u0447\u043d\u044b), \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0435\u0433\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d6db5dc6ec48fed829d1d16b8803df3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-b^2 =(a+b)(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"182\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45661a0693691876fa89055734b67833_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9 =(x+3)(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f, \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u044b: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-3\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-993d882ed2bfdc18bb18dde412cbf270_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+2ab+b^2=(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de28c721fc9e8b036c8ed290c4873cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4x+4=(x+2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cb72c2445ecf74dd260a35c83c91156_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-2ab+b^2=(a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-666a4ad12f00ead4f6e6a1135c228fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-10x+25=(x-5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043f\u043e\u0441\u043b\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u0440\u043d\u0438 (\u0438\u043b\u0438 \u043d\u0443\u043b\u0438) \u044d\u0442\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0422\u0435\u043c \u043d\u0435 \u043c\u0435\u043d\u0435\u0435, \u044d\u0442\u0443 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0441\u043b\u043e\u0436\u043d\u0435\u0435 \u043f\u043e\u043d\u044f\u0442\u044c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443, \u0435\u0441\u043b\u0438 \u0432\u0430\u043c \u044d\u0442\u043e \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e, \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u043f\u043e\u0438\u0441\u043a\u0430\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0432 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u043d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435 (\u0432\u0432\u0435\u0440\u0445\u0443 \u0441\u043f\u0440\u0430\u0432\u0430), \u0442\u0430\u043a \u043a\u0430\u043a \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0446\u0435\u043b\u0430\u044f \u0441\u0442\u0430\u0442\u044c\u044f, \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u044e\u0449\u0430\u044f \u044d\u0442\u043e.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Completacion-de-cuadrados\"><\/span>\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0435<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0417\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u2014 \u044d\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0430\u044f \u0434\u043b\u044f \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430 \u0432 \u0441\u0443\u043c\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u043f\u043b\u044e\u0441 (\u0438\u043b\u0438 \u043c\u0438\u043d\u0443\u0441) \u0447\u0438\u0441\u043b\u0430.<\/p>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u043b\u044e\u0431\u043e\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7dfafe787a9309542e1e1063e6056ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0433\u0434\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8304611362475f8451df85e99c1f7675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a(x+h)^2+k\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0433\u0434\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6475634f6ee5ca2a7e85945265a0b943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h=\\cfrac{b}{2a} \\qquad \\qquad k=c-ah^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"214\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u0436\u0435 \u0435\u0441\u043b\u0438 \u0432\u0430\u043c \u044d\u0442\u043e \u043d\u0435 \u043a\u0430\u0436\u0435\u0442\u0441\u044f, \u044d\u0442\u0438 \u0434\u0432\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u044b\u0432\u0435\u0434\u0435\u043d\u044b \u0438\u0437 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439. \u0418\u0442\u0430\u043a, \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0438\u0437\u0434\u0435\u043b\u0438\u044f\u043c, \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b \u043c\u043e\u0436\u043d\u043e \u0434\u043e\u0443\u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0442\u043e\u0432\u0430\u0442\u044c.<\/p>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u044d\u0442\u0443 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443 \u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c85718d3d2ce230bbfb0ea503d218ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2+4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"98\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cf6d2c84f82625cb8a795ee1394251f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fb8b0aec746411e81d4de8430957904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h=\\cfrac{b}{2a}=\\cfrac{4}{2\\cdot 2} =1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"142\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84e97942072ca2139743f4cb2f853c44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=c-ah^2 = 3-2\\cdot 1^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00dc44f1798a5fab144056da5829a276_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2(x+1)^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0442\u0438\u043f\u043e\u0432 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432). \u0412\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0432\u0441\u0435\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u044d\u0442\u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0438\u0442\u044b\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430. \ud83d\udc49\ud83d\udc49 \u041d\u0438\u0436\u0435 \u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u043a\u0430\u0436\u0434\u043e\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e, \u043d\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0438\u0442\u0430\u0435\u0442\u0435, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%82%d0%be%d0%b6%d0%b4%d0%b5%d1%81%d1%82%d0%b2%d0%b0-%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%b5%d0%b4%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8%d0%b7%d0%b2%d0%b5%d1%81%d1%82%d0%bd%d1%8b%d0%b5-%d1%80%d0%b0\/\"> <span class=\"screen-reader-text\">\u0418\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9],"tags":[],"class_list":["post-354","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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