{"id":332,"date":"2023-07-06T06:56:12","date_gmt":"2023-07-06T06:56:12","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8%d0%bb%d0%b8-%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d1%8f\/"},"modified":"2023-07-06T06:56:12","modified_gmt":"2023-07-06T06:56:12","slug":"%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8%d0%bb%d0%b8-%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8%d0%bb%d0%b8-%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d1%8f\/","title":{"rendered":"\u041a\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)"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f), \u0442\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 (ab) <sup>2<\/sup> . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044e \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. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-cuadrado-de-una-diferencia-o-resta\"><\/span> \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \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)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438<\/strong> , \u0438\u043b\u0438 <strong>\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f<\/strong> , \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c \u0438\u0437 <strong><span style=\"text-decoration: underline;\"> \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432 <\/span><\/strong> (\u0438\u043b\u0438 \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), \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0430, \u043e\u0431\u043b\u0435\u0433\u0447\u0430\u044e\u0449\u0435\u0433\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443\u0440\u044b \u00ab\u0431\u0438\u043d\u043e\u043c\u0430 \u0441 \u0434\u0432\u0443\u043c\u044f \u0447\u043b\u0435\u043d\u0430\u043c\u0438: \u043e\u0434\u043d\u0438\u043c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0438 \u0434\u0440\u0443\u0433\u043e\u0439 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439.<\/p>\n<p> \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\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u043e <strong>(ab) <sup>2<\/sup><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-cuadrado-de-una-diferencia-o-resta\"><\/span> \u0424\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 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0432\u0438\u0434\u0435\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-du-carre-dune-difference-ou-soustraction.png\" alt=\"\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 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f\" class=\"wp-image-2407\" width=\"299\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <strong>\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.<\/strong><\/p>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043a\u0430\u0436\u0434\u043e\u0435 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0435 \u0434\u043e \u0434\u0432\u0443\u0445, \u043d\u043e \u0438 \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0438\u0445 \u0432\u043c\u0435\u0441\u0442\u0435 \u0438 \u043d\u0430 2.<\/p>\n<p> \u042d\u0442\u043e \u0432\u0430\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u0447\u0435\u043d\u044c \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430 \u043f\u0440\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u043d\u0435 \u043f\u043e\u043c\u0435\u0449\u0430\u044e\u0442 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u0430 \u0440\u0435\u0448\u0430\u044e\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d\u0438\u044f \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \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\/carre-du-binome-d-une-soustraction.jpg\" alt=\"\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0431\u0438\u043d\u043e\u043c\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f\" class=\"wp-image-2409\" width=\"235\" height=\"66\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041d\u0435 \u0437\u0430\u0431\u0443\u0434\u044c\u0442\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 a \u0438 b! <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-cuadrados-de-diferencias-o-restas\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0441 \u0435\u0435 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0440\u0430\u0441\u0447\u0435\u0442\u044b. \u0418 \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f, \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f).<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435:<\/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 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0430\u043c \u043f\u0440\u0438\u0434\u0435\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0435\u0433\u043e \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> \u0418\u0442\u0430\u043a, \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<\/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 \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> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0442\u043e\u043b\u044c\u043a\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: <\/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=\"\u0431\u0438\u043d\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0440\u0435\u0448\u0435\u043d\u044b\" class=\"wp-image-2417\" width=\"299\" height=\"173\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0431\u0438\u043d\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f:<\/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-4a94d5ee509fb5d8e9eaf9a633f36f46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5x-2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\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-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> \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \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<\/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> \u0444\u043e\u0440\u043c\u0443\u043b\u044b. \u0412 \u044d\u0442\u043e\u0439 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\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-6093d29b7c98d4d53162882fe6703e10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" 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> \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u043c\u0443 \u0447\u043b\u0435\u043d\u0443 \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-868a41eb665f5bc94959448547c060d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^2\\\\[2ex] (5x-2)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=5x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \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> , \u043c\u044b \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \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-a5e88231a654b23a306e53e17d175d25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (5x-2)^2 &amp; = (5x)^2-2\\cdot 5x \\cdot 2 + 2^2 \\\\[2ex] &amp; = 25x^2-20x+4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-cuadrado-de-una-diferencia\"><\/span> \u0414\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0432\u044b\u044f\u0441\u043d\u0438\u043c, \u043e\u0442\u043a\u0443\u0434\u0430 \u0432\u0437\u044f\u043b\u0430\u0441\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f. \u0425\u043e\u0442\u044f \u0432\u0430\u043c \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0437\u0430\u043f\u043e\u043c\u0438\u043d\u0430\u0442\u044c \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e, \u0432\u0441\u0435 \u0440\u0430\u0432\u043d\u043e \u043f\u0440\u0438\u044f\u0442\u043d\u043e \u043f\u043e\u043d\u044f\u0442\u044c \u043b\u0435\u0436\u0430\u0449\u0443\u044e \u0432 \u0435\u0433\u043e \u043e\u0441\u043d\u043e\u0432\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0443.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \u0441 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0431\u0438\u043d\u043e\u043c\u0430 \u0432\u0441\u0435\u0445 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\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-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> \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> \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> \u0418 \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 \u0447\u043b\u0435\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435, \u0447\u0442\u043e\u0431\u044b \u0437\u0430\u043a\u043e\u043d\u0447\u0438\u0442\u044c \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \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> \u0427\u0442\u043e\u0431\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0431\u044b\u043b\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0434\u043e\u043a\u0430\u0437\u0430\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-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> \u041b\u044e\u0431\u043e\u043f\u044b\u0442\u043d\u043e, \u0447\u0442\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0442\u0430\u043a\u0436\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e \u043a\u0430\u043a \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interpretacion-geometrica-del-cuadrado-de-una-diferencia\"><\/span> \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e.<\/p>\n<p> \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u043e \u0441\u0442\u043e\u0440\u043e\u043d\u0430\u043c\u0438 \u0434\u043b\u0438\u043d\u043e\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-4fad90838c7fa310bdbea2364787ced6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\/interpretation-geometrique-du-carre-de-la-difference.jpg\" alt=\"\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438\" class=\"wp-image-2427\" width=\"321\" height=\"321\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041f\u043b\u043e\u0449\u0430\u0434\u044c (\u0438\u043b\u0438 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438) \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0438\u043b\u0438 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0441\u043e\u0441\u0435\u0434\u043d\u0438\u0445 \u0441\u0442\u043e\u0440\u043e\u043d. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0432\u0441\u0435\u0433\u043e \u0446\u0435\u043b\u043e\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0448\u0435 \u0440\u0430\u0432\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-217fa12aa2b62c902c84fa81b873991a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\\cdot a = a^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"76\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0436\u0435\u043b\u0442\u043e\u0433\u043e \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0440\u0430\u0432\u043d\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6598b0081ed8a7b827b59324acfae35a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\\cdot b = ab.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u0430\u043b\u0435\u043d\u044c\u043a\u0438\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0439 \u0432\u0432\u0435\u0440\u0445\u0443 \u0441\u043f\u0440\u0430\u0432\u0430, \u0438\u043c\u0435\u0435\u0442 \u043f\u043b\u043e\u0449\u0430\u0434\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4eeba14a61903733ce2d13bcf35d3ed6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\\cdot b =b^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"71\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u043e \u0441\u0442\u043e\u0440\u043e\u043d\u043e\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-62727d3bc0a05c70472ae09eba377396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b),\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff46b79cf0127ee95c26509e5c5c957c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"63\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\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-d8fa4ffebd0bdc66a5e68aa7b712f46c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043c\u0438\u043d\u0443\u0441 2 \u0440\u0430\u0437\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432<\/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> , \u043f\u043b\u044e\u0441 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf59029b62b61185814b66fa6004b2f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-cuadrado-de-una-diferencia-o-resta\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \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 \u043d\u0430 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u043d\u0430\u043c \u043b\u044e\u0431\u044b\u0435 \u0432\u043e\u043f\u0440\u043e\u0441\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043d\u0438\u0436\u0435 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \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<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d4b37f1b9fc0170cdcdf8ff4a136e61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ (4x-3y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"105\" 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 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0437\u0430\u0434\u0430\u0447\u0438, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \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-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<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-138b359ce2e8f8b1012c6ecf1b7fb9b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\begin{aligned}(4x-3y)^2 &amp; = (4x)^2-2\\cdot 4x\\cdot 3y +(3y)^2\\\\[2ex] &amp; = \\bm{16x^2-24xy+9y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"329\" 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> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0435\u0439 \u0434\u0432\u0443\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \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-2d817b4488d40c395b508191a9257bf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(6x^3-4y^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"127\" 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-b93817974b7ab8b03fa60852c85e570a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\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-5ce347a33830b600df805f9b3089a629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{5}{2}x^2-\\frac{4}{5}x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"137\" style=\"vertical-align: -17px;\"><\/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\"> \u0414\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0437\u043d\u0430\u0447\u0438\u043c\u044b\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \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-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-c73b9ba584f955a0cae5564a2226d465_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\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=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0440\u0430\u0437\u0434\u0435\u043b\u0430 \u0411) \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\u0434\u0435\u043d \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-38cd9e9855f7f79f607247ccc731e297_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\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=\"443\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u043e\u043d\u043e\u043c\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0438\u043c\u0435\u044e\u0442 \u0434\u0440\u043e\u0431\u043d\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043b\u044f \u0435\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \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-46106420913cc7a370e2f5215af0f2a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned} \\left(\\frac{5}{2}x^2-\\frac{4}{5}x\\right)^2 &amp; = \\left(\\frac{5}{2}x^2\\right)^2-2\\cdot \\frac{5}{2}x^2\\cdot \\frac{4}{5}x +\\left(\\frac{4}{5}x\\right)^2\\\\[2ex] &amp; = \\frac{5^2}{2^2}x^4-2\\cdot \\frac{20}{10}x^3 +\\frac{4^2}{5^2}x^2 \\\\[2ex] &amp;= \\frac{25}{4}x^4 -2\\cdot 2x^3+\\frac{16}{25}x^2 \\\\[2ex] &amp; = \\mathbf{\\frac{25}{4}} \\bm{x^4-4x^3+}\\mathbf{\\frac{16}{25}}\\bm{x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"222\" width=\"416\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f), \u0442\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 (ab) 2 . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044e \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. \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%b8%d0%bb%d0%b8-%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u041a\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)<\/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":[10],"tags":[],"class_list":["post-332","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041a\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) \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ru\/\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\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041a\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) \u2013 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\" \/>\n<meta property=\"og:description\" content=\"\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f), \u0442\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 (ab) 2 . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044e \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. \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 &hellip; \u041a\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) \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\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\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T06:56:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-du-carre-dune-difference-ou-soustraction.png\" \/>\n<meta name=\"author\" content=\"Mathority 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