{"id":341,"date":"2023-07-06T04:01:11","date_gmt":"2023-07-06T04:01:11","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/"},"modified":"2023-07-06T04:01:11","modified_gmt":"2023-07-06T04:01:11","slug":"%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%ba%d1%83%d0%b1%d0%be%d0%b2","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/","title":{"rendered":"\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432"},"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 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432 \u0438 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0437\u043b\u0430\u0433\u0430\u044e\u0442\u0441\u044f \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432. \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 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0441\u0443\u043c\u043c\u0443 \u043a\u0443\u0431\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-suma-de-cubos\"><\/span>\u041a\u0430\u043a\u043e\u0432\u0430 \u0441\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u0438\u043a\u043e\u0432?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432<\/strong> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u043d\u043e\u043c (\u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0442\u043e\u043b\u044c\u043a\u043e \u0441 \u0434\u0432\u0443\u043c\u044f \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438), \u0434\u0432\u0430 \u0447\u043b\u0435\u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b \u0438, \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0438\u0445 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u0442\u043e\u0447\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>a <sup>3<\/sup> +b <sup>3<\/sup><\/strong> .<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0441\u0443\u043c\u043c\u0430 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e (\u0438\u043b\u0438 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0443), \u0430 \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0430\u044f \u0440\u0435\u0448\u0438\u0442\u044c \u0435\u0435 \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e, \u0431\u0435\u0437 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0431\u043e\u043b\u044c\u0448\u043e\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439. \u0414\u0430\u043b\u044c\u0448\u0435 \u043c\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \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=\"Formula-de-la-suma-de-cubos\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0430\u0437\u043e\u0431\u0440\u0430\u0432\u0448\u0438\u0441\u044c \u0441 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-somme-des-cubes.png\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432\" class=\"wp-image-2663\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e \u043c\u0438\u043d\u0443\u0441 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d \u043f\u043b\u044e\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e.<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u043c\u044b \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439. \u0415\u0441\u043b\u0438 \u0432\u044b \u0432\u0441\u0435 \u0435\u0449\u0435 \u043d\u0435 \u0443\u0432\u0435\u0440\u0435\u043d\u044b, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a  <strong><span style=\"text-decoration: underline;\">\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b,<\/span><\/strong>  \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-factorizaciones-de-sumas-de-cubos\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0441\u0443\u043c\u043c \u043a\u0443\u0431\u043e\u0432<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 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0441\u0443\u043c\u043c\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0441\u0443\u043c\u043c \u043a\u0443\u0431\u043e\u0432 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<ul>\n<li> \u0420\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0443\u043c\u043c\u0443 \u043a\u0443\u0431\u043e\u0432 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-51a33d4fd52d94afa78abd4be81cf7f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"48\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043d\u044b\u043c (\u043d\u0435 \u0434\u0430\u0435\u0442 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e), \u0438 \u0447\u0438\u0441\u043b\u043e 8 \u0442\u043e\u0436\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71ce4de717d54a2fb6c3282de038913a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4171629bd68508074adfbf81cf982b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8=x^3+2^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"127\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \u0438 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62bca2a2972fa58da86d3a6dca21e62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3 +2^3 = (x+2)(x^2-x \\cdot 2 + 2^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043c \u043e\u0441\u0442\u0430\u043b\u043e\u0441\u044c \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\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-0993ec317132eea25d3144b4f2fe61f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3 +2^3 = (x+2)(x^2-2x + 4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u0440\u0438\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c\u0441\u044f \u043a \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e, \u0442\u043e \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432 \u043c\u044b \u043b\u0435\u0433\u043a\u043e  <strong><span style=\"text-decoration: underline;\">\u043d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/span><\/strong>  . \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043e\u0434\u0438\u043d \u0438\u0437 \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0431\u0443\u0434\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-86f872935a384592f05d5fdc077a0a0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438 (\u0438\u043b\u0438 \u043d\u0443\u043b\u0438) \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0432\u0430\u043c \u043f\u0440\u0438\u0434\u0435\u0442\u0441\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0431\u043e\u043b\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u0443\u044e \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u0443\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u043d\u0430 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0431\u0438\u043d\u043e\u043c, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\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-98f53ef4a4c3c39ecc0682c8d3df7666_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u044d\u0442\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0442\u0430\u043a\u0436\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f61617ac46da6980b038f6068280293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043e\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 1 \u0442\u043e\u0447\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff524d796280c6890e586ebb8a8023e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8x^3} = 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"83\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f8402a5e8c6e7baa1ee3f973126c38f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{1} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4be4848c5fb1c048ff19989f177b944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3+1 =(2x)^3+1^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c \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-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12bb382af2a96841b698c579bd102e82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x)^3+1^3 = (2x+1)\\bigl((2x)^2-2x \\cdot 1 + 1^2\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"320\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7915cecea88607cdc34ea9c53e25654c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x)^3+1^3 = (2x+1)(4x^2-2x + 1\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"276\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0437\u043d\u0430\u043b\u0438, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0441\u0443\u043c\u043c\u0443 \u043a\u0443\u0431\u043e\u0432, \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e, \u0432\u0430\u043c \u0437\u0430\u0445\u043e\u0447\u0435\u0442\u0441\u044f \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c <strong><span style=\"text-decoration: underline;\"> \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043a\u0443\u0431\u043e\u0432 <\/span><\/strong> . \u041f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0445\u043e\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0443\u0431\u043e\u0432 \u0438 \u043f\u043e\u0445\u043e\u0436\u0430, \u043d\u043e \u0432 \u043d\u0435\u0439 \u0435\u0441\u0442\u044c \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0435\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u0442\u044c \u0441\u0443\u043c\u043c\u0443 \u0438 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432. \u041e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0432 \u0447\u0435\u043c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u044d\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0435 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0438 \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043a\u0443\u0431\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-sumas-de-cubos\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u0441\u0443\u043c\u043c\u0430\u0445 \u043a\u0443\u0431\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0423\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043a\u0443\u0431\u043e\u0432 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64ab426c17c8571c1726998770c4b202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^6+27x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0443\u043c\u043c\u0435 \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u0434\u0432\u0443\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0442\u043e\u0447\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4940d2f98a52cbec3af20836bd69d3b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^6} = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"72\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c60bf4d19507d04bdae93d067a8d693d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{27x^3} = 3x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"92\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1e8dbe7c909416a5a330d21440a3b89a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^6+27x^3=\\bigl(x^2\\bigr)^3+(3x)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"202\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0441\u0443\u043c\u043c\u044b \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \u0438 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e42482dc7545bb617e1d662dd2cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3  = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26d11de6c65531d48077d92ffb61bfcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(x^2\\bigr)^3+(3x)^3 = \\left(x^2+3x\\right)\\left( \\left(x^2\\right)^2-x^2 \\cdot 3x + (3x)^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"397\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u044b \u0440\u0435\u0448\u0430\u0435\u043c \u0432\u0441\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043f\u043e \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-326b49aeb6e6835bd07aad5e4981b0f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(x^2\\bigr)^3+(3x)^3 = \\left(x^2+3x\\right)\\left( x^4-3x^3 + 9x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"332\" style=\"vertical-align: -7px;\"><\/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 \u043a\u0430\u0436\u0434\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0432\u0438\u0434\u0435 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\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-52faab57ad4a1ac55f7bfef5b1b8f45c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+5)(x^2-5x+25)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" 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-d8ffa443eb8d1c0e020249e47f8b0d3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+7)(4x^2-14x+49)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-80cc39921b76e54197953588ddf19544_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (8x+y^2)(64x^2-8xy^2+y^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0442\u0440\u0435\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\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-db8da16c852b5b0b6c5b713c0d2d4fcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l}(x+5)(x^2-5x+25) = \\\\[2ex] = x^3-5x^2+25x+5x^2-25x+125 = \\\\[2ex] = x^3 +125\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"339\" 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-73ca58a006b5e2fd30f9e2bc1fe170f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}(2x+7)(4x^2-14x+49) = \\\\[2ex] =  8x^3-28x^2+98x+28x^2-98x+343 = \\\\[2ex]  = 8x^3+343\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"364\" 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-fcad6960f7a6c30cc8f251d33ed98a5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}(8x+y^2)(64x^2-8xy^2+y^4) = \\\\[2ex] =512x^3-64x^2y^2+8xy^4+64x^2y^2-8xy^4+y^6= \\\\[2ex] = 512x^3+y^6\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"423\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0415\u0441\u043b\u0438 \u0432\u0430\u0441 \u0431\u043e\u043b\u044c\u0448\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0442 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438, \u0437\u043d\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0435\u0441\u0442\u044c \u043e\u0434\u043d\u0430, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043d\u043e\u0433\u0438\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u044e\u0442 (\u0438 \u043e\u043d\u0430 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f). \u041d\u043e \u0432\u0430\u0436\u043d\u043e \u043f\u043e\u043c\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0433\u043e <strong><span style=\"text-decoration: underline;\"> \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u043c \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435 <\/span><\/strong> . \u0418\u043c\u0435\u043d\u043d\u043e \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443, \u0433\u0434\u0435 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438 \u043a\u0430\u043a \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u044d\u0442\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430.<\/p>\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 \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432 \u0438 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0437\u043b\u0430\u0433\u0430\u044e\u0442\u0441\u044f \u0441\u0443\u043c\u043c\u044b \u043a\u0443\u0431\u043e\u0432. \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 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0441\u0443\u043c\u043c\u0443 \u043a\u0443\u0431\u043e\u0432. \u041a\u0430\u043a\u043e\u0432\u0430 \u0441\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u0438\u043a\u043e\u0432? \u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u043d\u043e\u043c (\u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0442\u043e\u043b\u044c\u043a\u043e \u0441 \u0434\u0432\u0443\u043c\u044f \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438), \u0434\u0432\u0430 \u0447\u043b\u0435\u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b \u0438, \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0438\u0445 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u0442\u043e\u0447\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/\"> <span class=\"screen-reader-text\">\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432<\/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-341","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>\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432 - \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\/\u0441\u0443\u043c\u043c\u0430-\u043a\u0443\u0431\u043e\u0432\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0421\u0443\u043c\u043c\u0430 \u043a\u0443\u0431\u043e\u0432 - \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\" \/>\n<meta property=\"og:description\" content=\"\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 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