{"id":339,"date":"2023-07-06T04:43:17","date_gmt":"2023-07-06T04:43:17","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d1%8b\/"},"modified":"2023-07-06T04:43:17","modified_gmt":"2023-07-06T04:43:17","slug":"%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d1%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d1%8b\/","title":{"rendered":"\u041c\u043e\u043d\u043e\u043c\u044b"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u0432\u0441\u0435, \u0447\u0442\u043e \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c \u043e\u0431 \u043c\u043e\u043d\u043e\u043c\u0430\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442, \u0438\u0437 \u043a\u0430\u043a\u0438\u0445 \u0447\u0430\u0441\u0442\u0435\u0439 \u0441\u043e\u0441\u0442\u043e\u044f\u0442 (\u0438 \u043a\u0430\u043a \u0438\u0445 \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u0442\u044c), \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438, \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\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 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-los-monomios\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u043e\u043d\u043e\u043c\u044b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> <strong>\u041c\u043e\u043d\u043e\u043c<\/strong> \u2013 \u044d\u0442\u043e \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0446\u0438\u0435\u0439 \u0446\u0438\u0444\u0440 \u0438 \u0431\u0443\u043a\u0432. \u0422\u043e\u0447\u043d\u0435\u0435, \u043c\u043e\u043d\u043e\u043c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0447\u0438\u0441\u043b\u0430 \u0438 \u043e\u0434\u043d\u043e\u0439 \u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 (\u0431\u0443\u043a\u0432), \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0445 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u043b\u0435\u043d 7x <sup>3<\/sup> y <sup>2<\/sup> \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u043e\u043d\u043e\u043c\u043e\u043c, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u043d \u0438\u043c\u0435\u0435\u0442 \u0447\u0438\u0441\u043b\u043e (7) \u0438 \u0440\u0430\u0437\u043d\u044b\u0435 \u0431\u0443\u043a\u0432\u044b (x, y). <\/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\/quest-ce-quun-monome-1.png\" alt=\"\u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u043e\u043d\u043e\u043c\" class=\"wp-image-2614\" width=\"205\" height=\"206\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Partes-de-un-monomio\"><\/span> \u0427\u0430\u0441\u0442\u0438 \u043c\u043e\u043d\u043e\u043c\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u043f\u043e\u043d\u044f\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u044b \u0432\u0441\u0435 \u0447\u0430\u0441\u0442\u0438 \u043c\u043e\u043d\u043e\u043c\u0430:<\/p>\n<ul>\n<li> <strong>\u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442<\/strong> : \u0447\u0438\u0441\u043b\u043e, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 (\u0438\u043b\u0438 \u0431\u0443\u043a\u0432\u044b) \u043c\u043e\u043d\u043e\u043c\u0430.<\/li>\n<li> <strong>\u041f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f<\/strong> : \u043a\u0430\u0436\u0434\u0430\u044f \u0431\u0443\u043a\u0432\u0430, \u0432\u0445\u043e\u0434\u044f\u0449\u0430\u044f \u0432 \u043c\u043e\u043d\u043e\u043c.<\/li>\n<li> <strong>\u0411\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c<\/strong> : \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0441\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0449\u0438\u043c \u043c\u043e\u043d\u043e\u043c, \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u043c\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f\u043c\u0438.<\/li>\n<li> <strong>\u0421\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> : \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0441\u0443\u043c\u043c\u044b \u0432\u0441\u0435\u0445 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u0439 \u0431\u0443\u043a\u0432, \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0438\u0445 \u043c\u043e\u043d\u043e\u043c. <\/li>\n<\/ul>\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\/parties-d-un-monome.jpg\" alt=\"\u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043d\u044b\u0439 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\" class=\"wp-image-273\" width=\"397\" height=\"222\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u043c \u0432\u044b\u0448\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0440\u0430\u0432\u0435\u043d 8, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u0447\u0438\u0441\u043b\u043e, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u043e\u043d\u043e\u043c \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0443 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u2014 x. \u0418\u0442\u0430\u043a, \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0430 \u044d\u0442\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043f\u043b\u044e\u0441 \u0435\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0440\u0430\u0432\u043d\u044b\u0439 x <sup>2<\/sup> . \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0440\u0430\u0432\u043d\u0430 2, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u044d\u0442\u043e \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043e\u043d \u0438\u043c\u0435\u0435\u0442.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u043f\u0440\u043e\u0431\u0443\u0439\u0442\u0435 \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 \u0447\u0430\u0441\u0442\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0432\u0441\u0435 \u0447\u0430\u0441\u0442\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043c\u043e\u043d\u043e\u043c\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-a33a0c50ab928209397e5713fe1ec331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^4y^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -4px;\"><\/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\"> \u041a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0430\u043c\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432\u044b\u0441\u043a\u0430\u0437\u044b\u0432\u0430\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-pas-a-pas-de-monomes.png\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0448\u0430\u044e\u0442\u0441\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-2618\" width=\"479\" height=\"182\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0435 \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u0440\u0430\u0432\u0435\u043d 5, \u0442\u0430\u043a \u043a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u043d\u0430 \u044d\u0442\u043e\u0442 \u0447\u043b\u0435\u043d \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u0431\u0443\u043a\u0432\u044b. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u044d\u0442\u043e\u0433\u043e \u043c\u043e\u043d\u043e\u043c\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f x, y, z. \u0412-\u0442\u0440\u0435\u0442\u044c\u0438\u0445, \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e x <sup>4<\/sup> y <sup>2<\/sup> z. \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u0432\u0441\u0435\u0445 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u0442.\u0435. 7 (4+2+1=7).<\/p>\n<p class=\"has-text-align-left\"> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435: \u0435\u0441\u043b\u0438 \u0443 \u0431\u0443\u043a\u0432\u044b \u043d\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u044d\u0442\u043e \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0435\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u0435\u043d 1. \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0437\u0430\u0434\u0430\u0447\u0438, \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0435\u0434\u0438\u043d\u0438\u0446\u0443, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 z. <\/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=\"Tipos-de-monomios\"><\/span> \u0412\u0438\u0434\u044b \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0440\u0430\u0437\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0431\u043b\u0430\u0434\u0430\u0435\u0442 \u0441\u0432\u043e\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438. \u041d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0432\u0430\u0436\u043d\u044b\u043c\u0438 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b, \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b, \u0433\u0435\u0442\u0435\u0440\u043e\u0433\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b \u0438 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0442\u0438\u043f\u0430.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-semejantes\"><\/span> \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<\/strong> \u2013 \u044d\u0442\u043e \u043c\u043e\u043d\u043e\u043c\u044b, \u0438\u043c\u0435\u044e\u0449\u0438\u0435 \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. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043f\u043e\u0434\u043e\u0431\u043d\u044b, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0431\u0443\u043a\u0432\u044b \u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0438.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u043f\u043e\u0445\u043e\u0436\u0438, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e, \u0445\u043e\u0442\u044f \u043e\u043d\u0438 \u0438 \u0438\u043c\u0435\u044e\u0442 \u0440\u0430\u0437\u043d\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b, \u043e\u043d\u0438 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u044b \u043e\u0434\u043d\u0438\u043c\u0438 \u0438 \u0442\u0435\u043c\u0438 \u0436\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u044b \u0432 \u043e\u0434\u043d\u0438 \u0438 \u0442\u0435 \u0436\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\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-df5205b8785a8a15f05c0e844ce5773b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^5y^3 \\qquad \\qquad 9x^5y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043f\u043e\u0437\u0436\u0435, \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u043d\u0430\u0434 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-homogeneos\"><\/span> \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0414\u0432\u0430 <strong>\u043c\u043e\u043d\u043e\u043c\u0430<\/strong> <strong>\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b,<\/strong> \u0435\u0441\u043b\u0438 \u0438\u0445 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0440\u0430\u0432\u043d\u0430.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0431\u043e\u0438\u0445 \u0440\u0430\u0432\u043d\u0430 5:<\/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-4cb298acd6787ecae62fc280813c14d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^5 \\qquad \\qquad 6x^2y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0423 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u043e\u043d\u043e\u043c\u0430 \u0435\u0441\u0442\u044c \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 5, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0433\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0440\u0430\u0432\u043d\u0430 5. \u0410 \u0443 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043e\u0434\u043d\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0430 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442, \u0430 \u0434\u0440\u0443\u0433\u0430\u044f \u2014 \u0432 \u043a\u0443\u0431, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0433\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0432\u043d\u0430 5 (2+3 =5).<\/p>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u043c, \u0434\u043b\u044f \u0442\u043e\u0433\u043e \u0447\u0442\u043e\u0431\u044b \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u0431\u044b\u043b\u0438 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u043c\u0438, \u0438\u043c \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0438\u043c\u0435\u0442\u044c \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, \u0430 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-heterogeneos\"><\/span> \u0433\u0435\u0442\u0435\u0440\u043e\u0433\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0413\u0435\u0442\u0435\u0440\u043e\u0433\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<\/strong> \u2013 \u044d\u0442\u043e \u043c\u043e\u043d\u043e\u043c\u044b, \u043d\u0435 \u0438\u043c\u0435\u044e\u0449\u0438\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0433\u0435\u0442\u0435\u0440\u043e\u0433\u0435\u043d\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c\u044e \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432.<\/p>\n<p> \u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0442\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0435\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u043d\u0438\u0445 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u0437\u043d\u0443\u044e \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-81a26087564f254d3ee2fb15c56c8844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^8 \\qquad  3xy \\qquad 7a^9b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u044b\u0439 \u043c\u043e\u043d\u043e\u043c \u0438\u043c\u0435\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 8, \u0432\u0442\u043e\u0440\u043e\u0439 \u043c\u043e\u043d\u043e\u043c \u2014 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2, \u0430 \u0442\u0440\u0435\u0442\u0438\u0439 \u043c\u043e\u043d\u043e\u043c \u2014 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 11. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u0442\u0438 \u0442\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0435\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-opuestos\"><\/span> \u041f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b<\/strong> \u2014 \u044d\u0442\u043e \u043c\u043e\u043d\u043e\u043c\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b (\u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c) \u0438 \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b, \u0442. \u0435. \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043d\u043e \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u0437\u043d\u0430\u043a.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044f\u043c\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-ecd14c60524b881eb0ee1eb1b83261a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^5y^2 \\qquad  \\qquad -3x^5y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"179\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0414\u0432\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u043c\u043e\u043d\u043e\u043c\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c\u0438, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u043d\u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u0437\u043d\u0430\u043a\u043e\u043c: \u043f\u0435\u0440\u0432\u044b\u0439 \u0438\u043c\u0435\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0437\u043d\u0430\u043a, \u0430 \u0432\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u0432\u0430\u0441 \u043c\u043e\u0436\u0435\u0442 \u0437\u0430\u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u043e\u0435 \u043f\u043e\u0445\u043e\u0436\u0435\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435: <strong>\u0431\u0438\u043d\u043e\u043c<\/strong> . \u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0431\u0438\u043d\u043e\u043c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f) \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043d\u0430 \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u043f\u043e\u043d\u044f\u0442\u0438\u044f\u043c\u0438. \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e <strong><span style=\"text-decoration: underline;\"> \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0431\u0438\u043d\u043e\u043c, <\/span><\/strong> \u043d\u0430\u0436\u0430\u0432 \u043d\u0430 \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Operaciones-con-monomios\"><\/span> \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0443\u0433\u043b\u0443\u0431\u0438\u0442\u044c \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043c\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u0438\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u043e\u043d\u043e\u043c\u044b \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c, \u0432\u044b\u0447\u0438\u0442\u0430\u0442\u044c, \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c, \u0434\u0435\u043b\u0438\u0442\u044c \u0438 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c. \u0418 \u043a\u0430\u0436\u0434\u044b\u0439 \u0432\u0438\u0434 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0438\u043c\u0435\u0435\u0442 \u0441\u0432\u043e\u0438 \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e\u0441\u0442\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0438\u0436\u0435 \u043c\u044b \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u0438\u0445 \u043f\u043e \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-monomios\"><\/span> \u0441\u0443\u043c\u043c\u0430 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <span class=\"ez-toc-section-end\"><\/span><\/h3>\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\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 \u043e\u043d\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438. \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\u0443\u043c\u043c\u0430 \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, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0443\u043c\u043c \u043c\u043e\u043d\u043e\u043c\u043e\u0432 <\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li>\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<\/li>\n<\/ul>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0438 <u style=\"text-decoration-color:#ff5733;\">\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,<\/u> \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0438\u0441\u043a\u0430\u0442\u044c \u0438\u0445 \u0432 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u0441\u043f\u0440\u0430\u0432\u0430 \u0432\u0432\u0435\u0440\u0445\u0443, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0446\u0435\u043b\u0430\u044f \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0430, \u043f\u043e\u043b\u043d\u0430\u044f \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\"><span class=\"ez-toc-section\" id=\"Resta-de-monomios\"><\/span> \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0414\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043c\u043e\u043d\u043e\u043c\u0430 \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0435\u0441\u0442\u044c \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\u0434\u043e\u0431\u043d\u044b. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \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\u043e \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 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044e \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\/soustraction-de-monomes-1.png\" alt=\"\u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-151\" width=\"184\" height=\"185\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u043c\u043e\u043d\u043e\u043c\u043e\u0432 <\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e86e28656f876d6ea1f50cbd4684066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^2-4x^2 = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"125\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9ec8bfbba34f677f360ccb878219239_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5y^3-y^3 = 4y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c071a5e19fd1de57f4024c5612f96257_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^6y-4x^6y = 4x^6y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69fde32b846bab61e9167755462b522d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10a^3b^4c^2-6a^3b^4c^2 = 4a^3b^4c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"223\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6fbd6276ab9dbbe276b17d4e785b4f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"11x^3-4x^3-5x^3=7x^3-5x^3=2x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 <u style=\"text-decoration-color:#ff5733;\">\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u043d\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430<\/u> , \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435. \u041d\u0430\u0439\u0442\u0438 \u0438\u0445 \u043c\u043e\u0436\u043d\u043e \u0447\u0435\u0440\u0435\u0437 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u0438\u043a \u0432\u0432\u0435\u0440\u0445\u0443 \u0441\u043f\u0440\u0430\u0432\u0430. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-monomios\"><\/span> \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c <strong>\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432<\/strong> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043e\u043d\u043e\u043c, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u043e\u0441\u043d\u043e\u0432\u0443, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u0438\u0445 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0442\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\/multiplication-de-monomes-1.png\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u043d\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438\" class=\"wp-image-203\" width=\"194\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0438 \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u043c \u0434\u0432\u0430 \u043c\u043e\u043d\u043e\u043c\u0430 \u0441 \u0440\u0430\u0437\u043d\u043e\u0439 \u0431\u0430\u0437\u043e\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u044c\u044e, \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0440\u0438\u0434\u0435\u0442\u0441\u044f \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0432\u043c\u0435\u0441\u0442\u0435, \u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043f\u0440\u0435\u0436\u043d\u0438\u043c\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-91a6b9c012d06d618d61f97a1648fc3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\\cdot 3y^4 = (5\\cdot 3) x^2y^4 = 15x^2y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c373ccffc9ccd101ba2ce02e99abf7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^4 \\cdot 7x^5= (6\\cdot 7)x^{4+5} = 42x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ca04a0873a835eb55f0b7c34208302d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y \\cdot 2y^3 = (4\\cdot 2)y^{1+3} = 8 y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47775082b2bf643cd6277a4e74b5b08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2y^4\\cdot (-8x^8y^2)=(5\\cdot (-8))x^{2+8}y^{4+2} = -40x^{10}y^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"390\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2eac10c8abaa8979578beaf8274bd93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^6y^4 \\cdot (-4x^2z)= (-3\\cdot (-4)) x^{6+2}y^4z= 12x^8y^4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca7602e907500c26d357e713da3bde13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^8\\cdot 4x^5\\cdot (-x^2) =-12x^{13}\\cdot (-x^2)= 12x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"341\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 <u style=\"text-decoration-color:#ff5733;\">\u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432,<\/u> \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u0431\u0440\u0430\u0442\u0438\u0442\u044c\u0441\u044f \u043a \u0441\u0442\u0430\u0442\u044c\u0435, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0435\u0441\u0442\u044c \u043d\u0430 \u044d\u0442\u043e\u043c \u0441\u0430\u0439\u0442\u0435. \u0412\u044b \u043b\u0435\u0433\u043a\u043e \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0435\u0433\u043e \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0432 \u043f\u0440\u0430\u0432\u043e\u043c \u0432\u0435\u0440\u0445\u043d\u0435\u043c \u0443\u0433\u043b\u0443.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-monomios\"><\/span> \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c <strong>\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043e\u043d\u043e\u043c\u043e\u0432<\/strong> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043e\u043d\u043e\u043c, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0447\u0430\u0441\u0442\u043d\u043e\u043c\u0443 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435, \u0442\u043e \u0435\u0441\u0442\u044c \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435\u043c \u0438\u0445 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0442\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\/division-de-monomes-1.png\" alt=\"\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-317\" width=\"201\" height=\"202\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0432\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u0430, \u043c\u044b \u043f\u0440\u043e\u0441\u0442\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435.<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0345d3bf8afc735b7e499584142fef76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^6 : 7x^4= (7:7)x^{6-4} = 1x^2=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ba837b0d16f0fe2c78d057c053a72c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12y^5 : 4y^2= (12:4)y^{5-2} = 3y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99ce1c658885782a0de61d4acaae8f29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15x^7y^6 :3x^4y^5= (15:3)x^{7-4}y^{6-5} = 5x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-344fa60ffc830f331035b6307b698695_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27x^9y^7 :(-3x^5y^2)= (27:(-3))x^{9-5}y^{7-2}= -9x^4y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"395\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f98903cc9dff2fc60d4baeef41bbce1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-18x^{13} : 3x^4 : (-2x^7) = -6x^9: (-2x^7) = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"348\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0414\u0435\u043b\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441\u043b\u043e\u0436\u043d\u0435\u0435, \u0447\u0435\u043c \u043a\u0430\u0436\u0435\u0442\u0441\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c <u style=\"text-decoration-color:#ff5733;\">\u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0438\u043c\u0435\u044e\u0449\u0438\u0435\u0441\u044f \u0443 \u043d\u0430\u0441 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043f\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044e \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432<\/u> . \u0421\u0430\u043c\u044b\u0439 \u0431\u044b\u0441\u0442\u0440\u044b\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u043d\u0430\u0439\u0442\u0438 \u0438\u0445 \u2014 \u0447\u0435\u0440\u0435\u0437 \u043d\u0430\u0448\u0443 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0432 \u043f\u0440\u0430\u0432\u043e\u043c \u0432\u0435\u0440\u0445\u043d\u0435\u043c \u0443\u0433\u043b\u0443.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Potencia-de-un-monomio\"><\/span> \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> <strong>\u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430, \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/strong> . \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 \u0438 \u0435\u0433\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 (\u0431\u0443\u043a\u0432) \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438. <\/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\/puissance-dun-monome-exemple.png\" alt=\"\u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430\" class=\"wp-image-362\" width=\"179\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0437 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u043c \u0443\u0436\u0435 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0439 \u0447\u043b\u0435\u043d, \u0434\u0432\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f. \u041f\u043e \u044d\u0442\u043e\u0439 \u043f\u0440\u0438\u0447\u0438\u043d\u0435 <strong>\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u0430\u0436\u0434\u043e\u0439 \u0431\u0443\u043a\u0432\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c, \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0449\u0438\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> .<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1e51fcc4fe828722bfa6963d3540e08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(5x^6\\right)^2 = 5^2\\left(x^6\\right)^2 = 5^2x^{6\\cdot 2} = 25x^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-488af8cc2d389d0a9012531e595a51e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(2x^5\\right)^4 = 2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = 16x^{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931e60b61878fcf9dda31deb0eac0178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-4y^3\\right)^2 = (-4)^2\\left(y^3\\right)^2 = (-4)^2y^{3\\cdot 2} = 16y^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"326\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43073f3940619cc05ddaf143d91031ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^4y\\right)^3 = 3^3\\left(x^4y\\right)^3 = 3^3x^{4\\cdot 3}y^{1\\cdot 3} = 27x^{12}y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"331\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-841e3847493c3454e6e0cde2b389de9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-2a^5b^7\\right)^3 = (-2)^3\\left(a^5b^7\\right)^3 = (-2)^3a^{5\\cdot 3}b^{7\\cdot 3} = -8a^{15}b^{21}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"417\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0412 \u0442\u0430\u043a\u043e\u0433\u043e \u0440\u043e\u0434\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f\u0445 \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043b\u0435\u0433\u043a\u043e \u043e\u0448\u0438\u0431\u0438\u0442\u044c\u0441\u044f. \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 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 <u style=\"text-decoration-color:#ff5733;\">\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0438\u043b\u0438<\/u> \u043d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435. \u0412\u044b \u0431\u044b\u0441\u0442\u0440\u043e \u0438\u0445 \u043d\u0430\u0439\u0434\u0435\u0442\u0435, \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0432 \u043f\u043e\u0438\u0441\u043a \u0432 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u0432\u0432\u0435\u0440\u0445\u0443 \u0441\u043f\u0440\u0430\u0432\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Valor-numerico-de-un-monomio\"><\/span> \u0427\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0427\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430<\/strong> \u2014 \u044d\u0442\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043f\u0443\u0442\u0435\u043c \u0437\u0430\u043c\u0435\u043d\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \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-1750086b2459b8f402f0019ed8a1388b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u043c\u043e\u043d\u043e\u043c\u0430 \u0434\u043b\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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> \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u0431\u0443\u043a\u0432\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0430 2 \u0438 \u0440\u0435\u0448\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-9658379813c24dea4af2a2cabebe664b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\cdot 2^2= 5 \\cdot 4 = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0417\u043d\u0430\u0447\u0438\u0442, \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \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-1750086b2459b8f402f0019ed8a1388b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0414\u043b\u044f<\/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> \u0440\u0430\u0432\u043d\u043e 20.<\/p>\n<p> \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0431\u0438\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043d\u0430\u044f \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043c\u043e\u043d\u043e\u043c \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\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-b0ede37333d30f6a3b6be46e71c9216c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^4y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"36\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0448\u0435\u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \u043c\u043e\u043d\u043e\u043c\u0430, \u043a\u043e\u0433\u0434\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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u0442\u043e\u0438\u0442 1 \u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u043e -2, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u044f\u0435\u043c \u0431\u0443\u043a\u0432\u044b \u043d\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c26b3123c46d4add1781440e5b162b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3\\cdot 1^4\\cdot (-2)= 3 \\cdot 1 \\cdot (-2) = -6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430 \u0437\u0430\u0434\u0430\u0447\u0438 \u0434\u043b\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f986dbfac9d3f29a18cba91e9efa9d2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0432\u043e\u0437\u0432\u0440\u0430\u0449\u0430\u0435\u0442 -6.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-y-polinomios\"><\/span> \u041c\u043e\u043d\u043e\u043c\u044b \u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0437\u043d\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043c\u043e\u0436\u043d\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0442\u044c \u0438\u0437 \u043c\u043e\u043d\u043e\u043c\u043e\u0432:<\/p>\n<p> <strong>\u041f\u043e\u043b\u0438\u043d\u043e\u043c<\/strong> \u2014 \u044d\u0442\u043e \u0433\u0440\u0443\u043f\u043f\u0430 \u0434\u0432\u0443\u0445 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \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-6684e62627ea7788f55bbec6a1551156_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 4x^5+3x^2-7x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f) \u0442\u0440\u0435\u0445 \u0440\u0430\u0437\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432.<\/p>\n<p> \u0418\u0437 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u0430, \u043a\u043e\u0433\u0434\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e 2 \u043c\u043e\u043d\u043e\u043c\u0430, \u0435\u0433\u043e \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 <strong>\u0431\u0438\u043d\u043e\u043c\u043e\u043c<\/strong> . \u0410 \u043a\u043e\u0433\u0434\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0440\u043e\u0432\u043d\u043e \u0442\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0430, \u043e\u043d \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <strong>\u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u043c<\/strong> .<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u0443\u0437\u043d\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u0445, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0441\u0435\u0442\u0438\u0442\u044c \u0433\u043b\u0430\u0432\u043d\u0443\u044e \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443 \u0418\u043d\u0442\u0435\u0440\u043d\u0435\u0442\u0430, \u0433\u0434\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u0432\u0441\u0435, \u0447\u0442\u043e \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c \u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u0445.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c \u0432\u0441\u0435, \u0447\u0442\u043e \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c \u043e\u0431 \u043c\u043e\u043d\u043e\u043c\u0430\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442, \u0438\u0437 \u043a\u0430\u043a\u0438\u0445 \u0447\u0430\u0441\u0442\u0435\u0439 \u0441\u043e\u0441\u0442\u043e\u044f\u0442 (\u0438 \u043a\u0430\u043a \u0438\u0445 \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u0442\u044c), \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438, \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\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 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u043e\u043d\u043e\u043c\u044b? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435: \u041c\u043e\u043d\u043e\u043c \u2013 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d1%8b\/\"> <span class=\"screen-reader-text\">\u041c\u043e\u043d\u043e\u043c\u044b<\/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-339","post","type-post","status-publish","format-standard","hentry","category-13"],"yoast_head":"<!-- This site is optimized 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\u043c\u043e\u043d\u043e\u043c\u0430\u0445: \u0447\u0442\u043e \u043e\u043d\u0438 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442, \u0438\u0437 \u043a\u0430\u043a\u0438\u0445 \u0447\u0430\u0441\u0442\u0435\u0439 \u0441\u043e\u0441\u0442\u043e\u044f\u0442 (\u0438 \u043a\u0430\u043a \u0438\u0445 \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u0442\u044c), \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438, \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u043d\u043e\u043c\u0430. .. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b 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