{"id":51,"date":"2023-09-17T07:31:21","date_gmt":"2023-09-17T07:31:21","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b4%d0%be%d0%b1%d0%b0%d0%b2%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd\/"},"modified":"2023-09-17T07:31:21","modified_gmt":"2023-09-17T07:31:21","slug":"%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b4%d0%be%d0%b1%d0%b0%d0%b2%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b4%d0%be%d0%b1%d0%b0%d0%b2%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd\/","title":{"rendered":"\u0421\u0443\u043c\u043c\u0430 \u043c\u043e\u043d\u043e\u043c\u043e\u0432"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438 \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b (\u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0438\u043b\u0438 \u043d\u0435\u0442). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0441\u0443\u043c\u043c\u044b \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-suman-los-monomios\"><\/span> \u041a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0414\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u043f\u043e\u0445\u043e\u0436\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0441\u043b\u0438 \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c (\u0442\u0435 \u0436\u0435 \u0431\u0443\u043a\u0432\u044b \u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0438).<\/p>\n<p> \u0422\u043e\u0433\u0434\u0430 \u0441\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0440\u0430\u0432\u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u043c\u0443 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0443, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u0438\u0437 \u0442\u043e\u0439 \u0436\u0435 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0438 \u0441\u0443\u043c\u043c\u044b \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\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\/somme-de-monomes-exemples.png\" alt=\"\u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-175\" width=\"189\" height=\"190\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u043b\u043e\u0436\u0438\u0432 \u043c\u043e\u043d\u043e\u043c \u043f\u043b\u044e\u0441 \u0435\u0449\u0435 \u043e\u0434\u0438\u043d \u043c\u043e\u043d\u043e\u043c, \u043c\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043c\u043e\u043d\u043e\u043c, \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u0439 \u0434\u0432\u0443\u043c \u043c\u043e\u043d\u043e\u043c\u0430\u043c, \u0443\u0447\u0430\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u043c \u0432 \u0441\u0443\u043c\u043c\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-sumas-de-monomios\"><\/span>\u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0443\u043c\u043c \u043c\u043e\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u0430\u043c \u0431\u044b\u043b\u043e \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u043e \u043f\u043e\u043d\u044f\u0442\u043d\u043e, \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u0434\u0432\u0430 \u0438 \u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u0438\u0436\u0435 \u0432\u044b \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: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-efd1d13a1dec2b7e39be1a71ead8a441_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^4+3x^4 = 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"125\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2a9941e13fbe4d7881b99ee7660cfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y^2+y^2 = 5y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b42e71adb23ec8aa9fd276c5864bc08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^3y+2x^3y = 9x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9930c00ea28ee7d35113217c6ef47b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a^3b^2c^6+6a^3b^2c^6 = 8a^3b^2c^6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"215\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec2b8fd044bf2c506940b6ca8226f6c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^3+2x^3+5x^3=6x^3+5x^3=11x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"281\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b. \u041f\u0440\u0438\u0447\u0435\u043c \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0441\u0443\u043c\u043c\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b, \u043d\u043e \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043f\u0440\u0435\u0436\u043d\u0435\u0439.<\/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 \u0440\u0435\u0448\u0430\u0442\u044c \u0441\u0443\u043c\u043c\u0443 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0432\u0430\u043c, \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e, \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0432\u0441\u0435 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 (\u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435, \u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c\u2026). \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 \u043e\u043d\u0430 \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0432\u0441\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u043d\u043e \u0438 \u0443\u0447\u0438\u0442, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0442\u044c <strong><span style=\"text-decoration: underline;\"> \u0441\u043e\u0432\u043c\u0435\u0449\u0435\u043d\u043d\u044b\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 <\/span><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-monomios-no-semejantes\"><\/span> \u0421\u0443\u043c\u043c\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043e\u0436\u043d\u043e \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b. \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0435\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0439\u0434\u0435\u043c \u0441\u0443\u043c\u043c\u0443 <strong>\u043d\u0435\u043f\u043e\u0445\u043e\u0436\u0438\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u0441 \u0434\u0440\u0443\u0433\u0438\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u043b\u0438 \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 (\u0431\u0443\u043a\u0432\u043e\u0439), \u043c\u044b \u043d\u0438 \u0432 \u043a\u043e\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u0443\u043c\u043c\u0443 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432. \u0418 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u0443\u044e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044e (\u043d\u0435\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043d\u043d\u043e\u0439).<\/p>\n<p> \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0445 \u0438 \u0440\u0430\u0437\u043d\u044b\u0445 \u043e\u0434\u043d\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-fdd86846784eed28cd58a87e250fdc59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^3+4x^7+5x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"123\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0412 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u043c \u0432\u044b\u0448\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u043c\u043e\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-2829cc3cd2f305c10b545bee09a416e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0415\u0433\u043e \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0445, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0435\u0433\u043e \u043a \u0434\u0440\u0443\u0433\u0438\u043c \u0442\u0435\u0440\u043c\u0438\u043d\u0430\u043c. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u0432\u0430 \u0434\u0440\u0443\u0433\u0438\u0445 \u043c\u043e\u043d\u043e\u043c\u0430 \u043c\u043e\u0436\u043d\u043e \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u0434\u0440\u0443\u0433 \u0441 \u0434\u0440\u0443\u0433\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-9ddbf0dcf5e7f7af54271965d223308f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^7+2x^3+5x^3 = 4x^7+7x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"221\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0434\u0432\u0430 (\u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435) \u043d\u0435\u0441\u0445\u043e\u0434\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u0430, \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0438\u0445 \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d.<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u043f\u0440\u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u0435\u043b\u043e \u043e\u0431\u0441\u0442\u043e\u0438\u0442 \u0438\u043d\u0430\u0447\u0435, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043c\u043e\u0436\u043d\u043e \u043a\u0430\u043a \u043f\u043e\u0445\u043e\u0436\u0438\u0435, \u0442\u0430\u043a \u0438 \u0440\u0430\u0437\u043d\u044b\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b. \u0412\u043e\u0442 \u043f\u043e\u0447\u0435\u043c\u0443 \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \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 \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b<\/span> <\/strong> \u0438 \u0432 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-suma-de-monomios\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u0443\u043c\u043c\u0443 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u043d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432:<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-677cfb3aa75b3bf8aff5d60d687052f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^4+2x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"100\" 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-8c9b2309e769cf2d232b015624e060fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3xy+10xy\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" 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-732c33d5a37db7c360a0bb7290a86671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6x^2y^3z+7x^2y^3z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"153\" 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-c9945e8d67c79d33610b0e647e26823d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 4a^2b^2c+8a^2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"139\" 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>\u041f\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-15671adee33be7ed626bd137a105199f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^4+2x^4 = \\bm{7x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" 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-106241a416ec91f4a9c0ac91b5ccdf0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3xy+10xy = \\bm{13xy}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" 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-a8b0e47a2a066f0bb386057d75b960d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6x^2y^3z+7x^2y^3z=\\bm{13x^2y^3z}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" 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-c9945e8d67c79d33610b0e647e26823d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 4a^2b^2c+8a^2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043b\u0435\u0434\u043d\u044e\u044e \u043c\u043e\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043d\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u043d\u0435 \u043f\u043e\u0445\u043e\u0436\u0438 (\u0438\u043c\u0435\u044e\u0442 \u0440\u0430\u0437\u043d\u044b\u0435 \u043b\u0438\u0442\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438).<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54269c9cbbbd78ed7317a3aadd384719_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^2+5x^2+x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"140\" 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-f6925b006d60f322791dc6106f6a0070_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4ab+6ab+3ab+5ab\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" 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-71d3447eb91bace965081a0b0bc8fc01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ dgp+4dgp+2dgp+9dgp\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"226\" 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-543568d0a8ac728c94c0484364698ee4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6a^2b +5a^2b +8a^2b+4a^2b+2a^2b\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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>\u041f\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-7bca2b00b0f755d63b7dd86086ea7030_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^2+5x^2+x^2 =\\bm{8x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" 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-a071d2d6eefc30ff52143ecbfcbcdc55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4ab+6ab+3ab+5ab =\\bm{18ab}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"252\" 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-6a042a50eb07764504acebbe0a536a07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ dgp+4dgp+2dgp+9dgp =\\bm{16dgp}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"295\" 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-439f31fd465f289ac87dee4c43f64a67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6a^2b +5a^2b +8a^2b+4a^2b+2a^2b=\\bm{25a^2b}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"347\" style=\"vertical-align: -5px;\"><\/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> \u041c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0443\u043c\u043c\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d5f46fdcee2d66321c7ff3957ce2a2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^6+4x^6+x^5+2x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"188\" 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-3c339c283e0b96184fb0a5b2258ec4b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4xyz+5xz+7xyz+8xz\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" 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-73ec1c8f58abbc741116bf16a49c49b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ ab^2c +3a^2bc+5ab^2c+ab^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" 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-ba0c2007b397400cc963c46473cf8571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6y^3+3y^3+2y^5+2y^4+y^5+4y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"280\" 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>\u041f\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 \u0445\u043e\u0440\u043e\u0448\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u044d\u0442\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u0447\u0442\u043e \u0438\u0445 \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u043c\u043e\u043d\u043e\u043c\u044b \u043f\u043e\u0434\u043e\u0431\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043a\u043e\u0433\u0434\u0430 \u043c\u043e\u043d\u043e\u043c\u044b \u043d\u0435 \u043f\u043e\u0434\u043e\u0431\u043d\u044b, \u0438\u0445 \u043d\u0435\u043b\u044c\u0437\u044f \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c. \u0422\u0410\u041a: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7502af4cf7709690c4a22e4087db960_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^6+4x^6+x^5+2x^6 = \\bm{9x^6+x^5}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"278\" 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-d245bbadb116b1afb743e34ffd8d3bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4xyz+5xz+7xyz+8xz =\\bm{11xyz+13xz}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" 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-69b452aa3a2baf79f34e3d896f3700f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ ab^2c +3a^2bc+5ab^2c+ab^2c =\\bm{7ab^2c+3a^2bc}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"366\" 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-540dea1d9aab4db14ae77619a92aff1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6y^3+3y^3+2y^5+2y^4+y^5+4y^3= \\bm{3y^5+2y^4+13y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"434\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-suma-de-monomios\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0441\u0443\u043c\u043c\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0443\u043c\u043c\u0430 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> <strong>\u0410\u0441\u0441\u043e\u0446\u0438\u0430\u0442\u0438\u0432\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u043f\u0440\u0438 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0438 3 \u0438 \u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0432\u0441\u0435\u0433\u0434\u0430 \u0441\u043e\u0431\u043b\u044e\u0434\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e8be3d52ba6715d13d619ebf6bcb79a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x^3+5x^3)+2x^3 = 4x^3+(5x^3+2x^3) = 11x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"356\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0442\u043e\u0433\u043e, \u043f\u043e\u0434\u043e\u0431\u043d\u044b \u043c\u043e\u043d\u043e\u043c\u044b \u0438\u043b\u0438 \u043d\u0435\u0442, \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0da51813f4f494dfbf0741fb01b1d81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^5+4x^5=4x^5+2x^5 = 6x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"223\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041d\u0435\u0439\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442<\/strong> : \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430 \u043f\u043b\u044e\u0441 \u043b\u044e\u0431\u043e\u0439 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043e\u043d\u043e\u043c \u0441 \u0447\u0438\u0441\u043b\u043e\u0432\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e, \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0441\u0430\u043c\u043e\u043c\u0443 \u043c\u043e\u043d\u043e\u043c\u0443.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33dd9dd71d59b8a875c8d4e5473ac385_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^2+0=8x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"107\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442<\/strong> : \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043e\u043d\u043e\u043c\u0430 \u0438 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0433\u043e \u0435\u043c\u0443 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e. <\/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-3ffe6fbb8ee7d9472576744ceb366acc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^4+(-6x^4)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438 \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b (\u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0438\u043b\u0438 \u043d\u0435\u0442). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0441\u0443\u043c\u043c\u044b \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b? \u0414\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u043f\u043e\u0445\u043e\u0436\u0438, &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%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b4%d0%be%d0%b1%d0%b0%d0%b2%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd\/\"> <span class=\"screen-reader-text\">\u0421\u0443\u043c\u043c\u0430 \u043c\u043e\u043d\u043e\u043c\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":[13],"tags":[],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-13"],"yoast_head":"<!-- This site is optimized 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