{"id":328,"date":"2023-07-06T07:57:24","date_gmt":"2023-07-06T07:57:24","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%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-%d1%81%d1%83%d0%bc%d0%bc%d1%8b-%d0%bd%d0%b0-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81\/"},"modified":"2023-07-06T07:57:24","modified_gmt":"2023-07-06T07:57:24","slug":"%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%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-%d1%81%d1%83%d0%bc%d0%bc%d1%8b-%d0%bd%d0%b0-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%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-%d1%81%d1%83%d0%bc%d0%bc%d1%8b-%d0%bd%d0%b0-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81\/","title":{"rendered":"\u041f\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 (\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \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. \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 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u044b \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 \u0438 \u0434\u0430\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \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. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-producto-de-la-suma-por-la-diferencia\"><\/span> \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u043f\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?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u0435 <strong>\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<\/strong> \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u043a \u043e\u0434\u043d\u043e\u043c\u0443 \u0438\u0437 <strong><span style=\"text-decoration: underline;\"> \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432 <\/span><\/strong> , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0445 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\u043c\u0438 \u0438\u043b\u0438 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u043c\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c\u0438.<\/p>\n<p> \u0422\u043e\u0447\u043d\u0435\u0435, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \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 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434 <strong>(a+b)\u00b7(ab)<\/strong> , \u0433\u0434\u0435 (a+b) \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0443\u043c\u043c\u0435 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445, \u0430 (ab) \u2014 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0438\u0437 \u044d\u0442\u0438\u0445 \u0436\u0435 \u0434\u0432\u0443\u0445 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-producto-de-la-suma-por-la-diferencia\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\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<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 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u0438\u0446\u0443, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\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=\"\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\" class=\"wp-image-2278\" width=\"255\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\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 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \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 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445<\/strong> . \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 \u043d\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u044d\u0442\u0438\u0445 \u0436\u0435 \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<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e  <strong><span style=\"text-decoration: underline;\">\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432<\/span><\/strong>  \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\u044f \u0441\u0443\u043c\u043c, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438. \u0425\u043e\u0442\u044f \u0441\u0435\u0439\u0447\u0430\u0441 \u044d\u0442\u043e \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c\u0441\u044f \u0432\u0430\u043c \u0441\u043b\u043e\u0436\u043d\u044b\u043c, \u043d\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u0442\u0440\u044e\u043a, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0432\u0430\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432 \u0434\u0432\u0430 \u043f\u0440\u043e\u0441\u0442\u044b\u0445 \u0448\u0430\u0433\u0430. \u041d\u0430\u0436\u043c\u0438\u0442\u0435 \u0438 \u0443\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-productos-de-sumas-por-diferencias\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \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<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\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, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u043d\u044f\u0442\u044c, \u043a\u0430\u043a \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 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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> \u0424\u043e\u0440\u043c\u0443\u043b\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 \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> \u0418\u0442\u0430\u043a, \u043f\u0435\u0440\u0432\u043e\u0435, \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 \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> \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 \u0442\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \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> \u041c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \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<p>\u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\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 \u0432\u0441\u0435\u0433\u0434\u0430 \u0434\u0430\u0441\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0447\u043b\u0435\u043d. \u041e\u0434\u043d\u0430\u043a\u043e \u043d\u0435 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u0443\u0442\u0430\u0442\u044c \u044d\u0442\u043e \u0441 \u0443\u0434\u0438\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f. \u0415\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043a\u0430\u043a\u0438\u0435-\u043b\u0438\u0431\u043e \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u0430 <strong><span style=\"text-decoration: underline;\"> \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 <\/span><\/strong> , \u0433\u0434\u0435 \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0432 \u0447\u0435\u043c \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u044e\u0442\u0441\u044f \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\u043c\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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 \u0431\u0438\u043d\u043e\u043c\u043e\u0432:<\/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-186f562faed63e636884263f5854f0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x+5)\\cdot (3x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\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 \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\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\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-723d3ff64e92fa43145366202ce30f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=3x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-b41cd8020624a683feb6c7e88b71c9ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p> . \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u043f\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\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-fffde1dd457ab276c3d53e1d1e23616d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x+5)\\cdot (3x-5) = (3x)^2-5^2 = 9x^2-25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 3<\/h3>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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 \u043c\u043e\u043d\u043e\u043c\u043e\u0432:<\/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-409155e85d07804a9333bd48429940ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0431\u043b\u0430\u0434\u0430\u0435\u0442 \u043a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u044b\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e\u043c, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438, \u0430 \u0437\u0430\u0442\u0435\u043c \u0441\u0443\u043c\u043c\u044b \u0434\u0432\u0443\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u0442\u0435\u0445 \u0436\u0435 \u0441\u043a\u043e\u0431\u043e\u043a \u0432 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\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-583e6cc781617efdb7061c82ae11ec0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y) = (4x+2y)\\cdot (4x-2y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0445\u043e\u0442\u044f \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u0432\u043e\u0440\u0430\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f, \u0442\u043e \u0435\u0441\u0442\u044c \u0434\u043e \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438\u0434\u0435\u0442 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u0442\u0430\u043a\u0438\u043c \u0436\u0435, \u043a\u0430\u043a \u0438 \u0444\u043e\u0440\u043c\u0443\u043b\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-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-72246fd1126cb58a3fb86376fba4f0d6_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> \u0418\u0442\u0430\u043a, \u0432 \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\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-5231d0029f85ab0321bb3d4b9e25ec80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=4x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-f3fbd7a3d02814e8c9770e23ece10400_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=2y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<p> . \u0418 \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0433\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 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0437\u043d\u0430\u0447\u0438\u043c\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-3ff47675eb3b0a4db49ff32ebe471744_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x-2y)\\cdot (4x+2y)= (4x)^2-(2y)^2 = 16x^2-4y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-de-la-suma-por-la-diferencia\"><\/span> \u0414\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044f \u0441\u0443\u043c\u043c\u044b \u043f\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0438\u0437\u0443\u0447\u0438\u043b\u0438, \u043c\u043e\u0436\u043d\u043e \u043b\u0435\u0433\u043a\u043e \u043f\u0440\u043e\u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \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 \u0447\u043b\u0435\u043d\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-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> \u041f\u0440\u043e\u0441\u0442\u043e \u0443\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \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> \u0418, \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0432 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435, \u043c\u044b \u043f\u0440\u0438\u0445\u043e\u0434\u0438\u043c \u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\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-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> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u044b\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0433\u043e \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-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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-producto-de-la-suma-por-diferencia\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \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<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0435 \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0435\u0439, \u0447\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. \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u044b \u0432 \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u043e\u0442 \u043d\u0430\u0438\u043c\u0435\u043d\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u043e\u0433\u043e \u043a \u0441\u0430\u043c\u043e\u043c\u0443 \u0441\u043b\u043e\u0436\u043d\u043e\u043c\u0443, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u043d\u0430\u0447\u0430\u0442\u044c \u0441 1, \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c \u0441\u043e 2 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c 3, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0430\u043c\u044b\u043c \u0441\u043b\u043e\u0436\u043d\u044b\u043c.<\/p>\n<p> \u2b07\u2b07\u0422\u0430\u043a\u0436\u0435 \u043d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u043b\u044e\u0431\u044b\u0435 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0449\u0438\u0435 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u043d\u0430\u043c \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\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9857bf825403b9bb0b16fe08f338ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}(x+5)(x-5) = \\\\[2ex] =x^2-5^2=\\\\[2ex] = \\bm{x^2-25}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"167\" 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-7b16ddf395da600fb7bc3b5d62a328d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}(2x+6)(2x-6) = \\\\[2ex] =(2x)^2-6^2=\\\\[2ex] = \\bm{4x^2-36}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"184\" 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-7109d4edfb32c8d194a747f30f23de59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}(x+7)(x-7) = \\\\[2ex] =x^2-7^2=\\\\[2ex] = \\bm{x^2-49}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"166\" 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-ddc7c482ee40aa839c39f218036b2ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}(x-4y)(x+4y) = \\\\[2ex] =(x+4y)(x-4y) =\\\\[2ex] =x^2-(4y)^2=\\\\[2ex] = \\bm{x^2-16y^2}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"204\" 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> \u0412\u044b\u0440\u0430\u0437\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043a\u0430\u043a \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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-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-ad159466aec4f0d240bd8d4c308f7abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(4x-5\\right)\\left(4x+5\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" 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-ce8c4004719f1aa6c92b21494efd621f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\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-6aa36e48b667ea4743daf1da540430ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(2x^3y+x^4y^2\\right)\\left(2x^3y-x^4y^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"248\" 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-130cd5d346f482730ecc3333446e523f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}\\left(x^2+10\\right)\\left(x^2-10\\right) = \\\\[2ex] =\\left(x^2\\right)^2-10^2=\\\\[2ex] = \\bm{x^4-100}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"208\" 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-789437ac865d440bbd7fdc8c3dcef649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(4x-5\\right)\\left(4x+5\\right) = \\\\[2ex] =(4x)^2-5^2=\\\\[2ex] = \\bm{16x^2-25}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"187\" 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-95f3d6fb4f7ec97adeefac0c98b129a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right) = \\\\[2ex] =\\left(8x^3\\right)^2-\\left(y^2\\right)^2=\\\\[2ex] = \\bm{64x^6-y^4}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"224\" 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-cd84ca693626bc77a4a19e0c45a00caf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}\\left(2x^3y+x^4y^2\\right)\\left(2x^3y-x^4y^2\\right) = \\\\[2ex] =\\left(2x^3y\\right)^2-\\left(x^4y^2\\right)^2 =\\\\[2ex] = \\bm{4x^6y^2-x^8y^4}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"279\" 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\u0435\u0448\u0438\u0442\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-92f6afda6cffbe29df833c7579880aef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(9x^3+\\sqrt{5x}\\right)\\left(9x^3-\\sqrt{5x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"227\" 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-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-2898ec593dbaadf26cda7de0359b147e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(6x^4+x^2+1\\right)\\left(6x^4-x^2-1\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"255\" 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 \u043f\u0435\u0440\u0432\u043e\u0435 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e, \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u0443\u043f\u0440\u043e\u0449\u0430\u0435\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-ab1362f27fa00986005f1065ad627537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}\\left(9x^3+\\sqrt{5x}\\right)\\left(9x^3-\\sqrt{5x}\\right) = \\\\[2ex] =\\left(9x^3\\right)^2-\\left(\\sqrt{5x}\\right)^2=\\\\[2ex] = \\bm{81x^6-5x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0443\u043c\u043c\u044b \u043f\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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 \u0440\u0435\u0448\u0430\u0442\u044c \u044d\u0442\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u0434\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \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-f326d1d0330f288f08c8cf6a27ba85e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right) = \\\\[4ex] \\displaystyle =\\left(\\frac{1}{2}x^2\\right)^2-\\left(\\frac{5}{3}x\\right)^2=\\\\[4ex] \\displaystyle =\\frac{1^2}{2^2}x^4-\\frac{5^2}{3^2}x^2=\\\\[4ex]\\displaystyle = \\mathbf{\\frac{1}{4}}\\bm{x^4-}\\mathbf{\\frac{25}{9}}\\bm{x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"228\" width=\"263\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0441\u043b\u0435\u0434\u043d\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 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u044b\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0433\u043e \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0435\u0449\u0435 \u043e\u0434\u0438\u043d \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442 (\u043a\u0432\u0430\u0434\u0440\u0430\u0442 \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-ba1748a8a88df231365c5134f251038a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(6x^4+x^2+1\\right)\\left(6x^4-x^2-1\\right) = \\\\[2ex] = \\left(6x^4+\\left(x^2+1\\right)\\right)\\left(6x^4-\\left(x^2+1\\right)\\right)=\\\\[2ex]=\\left(6x^4\\right)^2-\\left(x^2+1\\right)^2=\\\\[2ex] =36x^8 - \\left(x^4+2x^2+1\\right)=\\\\[2ex] = \\bm{36x^8 - x^4-2x^2-1}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"167\" width=\"338\" 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>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \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. \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 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u044b \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 \u0438 \u0434\u0430\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \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. \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u043f\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? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \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 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u043a \u043e\u0434\u043d\u043e\u043c\u0443 \u0438\u0437 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432 , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0445 \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u043c\u0438 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%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-%d1%81%d1%83%d0%bc%d0%bc%d1%8b-%d0%bd%d0%b0-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81\/\"> <span class=\"screen-reader-text\">\u041f\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 (\u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e)<\/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-328","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized 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