{"id":344,"date":"2023-07-06T03:17:32","date_gmt":"2023-07-06T03:17:32","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d0%b5-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/"},"modified":"2023-07-06T03:17:32","modified_gmt":"2023-07-06T03:17:32","slug":"%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d0%b5-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%ba%d1%83%d0%b1%d0%be%d0%b2","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d0%b5-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/","title":{"rendered":"\u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435) \u043a\u0443\u0431\u043e\u0432"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043a\u0443\u0431\u043e\u0432 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \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 \u0434\u0430\u0436\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-la-diferencia-de-cubos\"><\/span> \u0412 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u043a\u0443\u0431\u0438\u043a\u0430\u043c\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435) \u043a\u0443\u0431\u043e\u0432<\/strong> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u043d\u043e\u043c (\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), \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0438\u0439 \u0438\u0437 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0442\u043e\u0447\u043d\u044b. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u0432 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u0430\u0445 \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\u0434\u0443\u043a\u0442\u0443. \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443, \u0433\u0434\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f <strong><span style=\"text-decoration: underline;\"> , \u043a\u0430\u043a\u0438\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 <\/span><\/strong> , \u043a\u0430\u043a \u043e\u043d\u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d\u0438 \u043d\u0443\u0436\u043d\u044b. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-diferencia-de-cubos\"><\/span> \u0420\u0430\u0437\u043d\u0438\u0446\u0430 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043a\u0443\u0431\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u043a\u0443\u0431\u043e\u0432, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u044d\u0442\u043e\u0433\u043e \u0432\u0438\u0434\u0430 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0432\u0435\u043d\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\/formule-pour-la-difference-ou-la-soustraction-de-cubes.png\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u043a\u0443\u0431\u043e\u0432\" class=\"wp-image-2731\" width=\"304\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u0438\u0437 \u043a\u0443\u0431\u0430 \u0440\u0430\u0432\u043d\u043e \u0440\u0430\u0437\u043d\u0438\u0446\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 \u043f\u043b\u044e\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> \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0443\u0431\u043e\u0432, \u043c\u044b  <strong><span style=\"text-decoration: underline;\">\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 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3<\/span><\/strong>  , \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432. \u041d\u0430\u0436\u043c\u0438\u0442\u0435 \u043d\u0430 \u0441\u0441\u044b\u043b\u043a\u0443 \u0432\u044b\u0448\u0435, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-diferencias-de-cubos\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0439 \u043a\u0443\u0431\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u043a\u0443\u0431\u043e\u0432 \u043f\u043e \u0435\u0433\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 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \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-909f0f47fc67c8ad20d18d0f7afbe37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-8\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \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-77dbc9d52cba4a6adfcc9c5d6b7c5080_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-8=x^3-2^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"127\" style=\"vertical-align: 0px;\"><\/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 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \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-52d5ddbcfea3f7d3d492b8f0ead32dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3  = (a-b)(a^2+ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24074f74c6a536c91c3e9265e1b7ec30_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 \u0442\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\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-01983c298ec4dfadaad4c6b45855090f_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> \u0418\u0437 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0447\u0442\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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0412\u0430\u0436\u043d\u043e \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u0442\u044c \u044d\u0442\u0443 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443, \u0435\u0441\u043b\u0438 \u043e\u043d\u0430 \u0432\u0430\u043c \u043d\u0435 \u0441\u043e\u0432\u0441\u0435\u043c \u043f\u043e\u043d\u044f\u0442\u043d\u0430, \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c  <strong><span style=\"text-decoration: underline;\">, \u043a\u0430\u043a \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/span><\/strong>  .<\/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 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0431\u0438\u043d\u043e\u043c, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0443\u0431\u0430.<\/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-a8d67849a4b6896846812ddca928092f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3-1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0411\u0438\u043d\u043e\u043c \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u0442\u0430\u043a\u0436\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c\u044e \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 \u0438\u0437 \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-534b566d3a3b0943a22cdb5220132623_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 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \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 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\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-52d5ddbcfea3f7d3d492b8f0ead32dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3  = (a-b)(a^2+ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9d9d52829d37cbca4716887d7c319ed4_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> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043c \u043e\u0441\u0442\u0430\u0451\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0438\u0440\u0443\u044e\u0449\u0438\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-4c4041ac5fdf0fcccec106c4e5a957a0_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> \u0425\u043e\u0442\u044f \u044d\u0442\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043a\u0430\u0436\u0443\u0442\u0441\u044f \u043f\u043e\u0445\u043e\u0436\u0438\u043c\u0438, \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432 \u043d\u0435 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u0443\u0442\u0430\u0442\u044c \u0441 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0431\u0438\u043d\u043e\u043c\u043e\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0440\u0443\u0433\u043e\u0435 (\u0438 \u0431\u043e\u043b\u0435\u0435 \u0432\u0430\u0436\u043d\u043e\u0435) \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e. \u041c\u044b \u043e\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, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 <strong><span style=\"text-decoration: underline;\"> \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 <\/span><\/strong> \u0438 \u043a\u0430\u043a\u043e\u0432\u044b \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\u0442\u043d\u044b\u043c\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-diferencia-de-cubos\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0435\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u043b\u0438, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u0438\u043a\u043e\u0432, \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e. \u041d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u043d\u0430\u043c \u043b\u044e\u0431\u044b\u0435 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u0435\u0432 (\u043d\u0438\u0436\u0435).\u2b07\u2b07<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0420\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0443\u0431\u043e\u0432 \u043f\u043e \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2087daeacab49fe1a03a67113c1a7cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^6-27x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"74\" style=\"vertical-align: 0px;\"><\/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 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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-4563571bc34b85f3aca39d2a44a929ee_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 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \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 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0431\u0438\u043d\u043e\u043c\u0430 \u043d\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52d5ddbcfea3f7d3d492b8f0ead32dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3  = (a-b)(a^2+ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f9fd889ba4827922378d85989d97fedc_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 \u0438 \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a4b6341424951063b66e5ae4d7f20eb_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 \u043a\u0430\u043a \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \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-d46d0e5b09ae81b6e7381832fa957a2a_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-233d8f9883af759cbdc82da52eb8d49c_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-5917ade9de4939b40e2b94372a5df4b1_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 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f) \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0443\u0431\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e\u0433\u043e \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \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-34e5fe437cf5dfaa305bbbcd8927b2c0_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=\"90\" 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-8af23875bcc05db2a69c8bf1e263274b_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=\"90\" 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-394ede96d4736d84a33ef9029ade5a90_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> \ud83d\udc49\ud83d\udc49\ud83d\udc49 \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u0430\u043c \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0442\u0430\u0442\u044c <strong><span style=\"text-decoration: underline;\"> \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b <\/span><\/strong> . \u042d\u0442\u043e \u0435\u0449\u0435 \u043e\u0434\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0441\u0442\u044c, \u043f\u043e\u0445\u043e\u0436\u0430\u044f \u043d\u0430 \u0442\u0443, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043b\u0438 (\u043d\u043e \u043e\u043d\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0433\u043e\u0440\u0430\u0437\u0434\u043e \u0431\u043e\u043b\u0435\u0435 \u0448\u0438\u0440\u043e\u043a\u043e). \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u0432 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \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 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u044f\u043c\u0438, \u043f\u0435\u0440\u0435\u0439\u0434\u044f \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435.<\/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 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043a\u0443\u0431\u043e\u0432 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \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 \u0434\u0430\u0436\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. \u0412 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u043a\u0443\u0431\u0438\u043a\u0430\u043c\u0438? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435) \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), \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0438\u0439 \u0438\u0437 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%b2%d1%8b%d1%87%d0%b8%d1%82%d0%b0%d0%bd%d0%b8%d0%b5-%d1%80%d0%b0%d0%b7%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%ba%d1%83%d0%b1%d0%be%d0%b2\/\"> <span class=\"screen-reader-text\">\u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435) \u043a\u0443\u0431\u043e\u0432<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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