{"id":53,"date":"2023-09-17T07:29:56","date_gmt":"2023-09-17T07:29:56","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a-%d9%84%d9%84%d9%85%d9%88%d9%86%d9%88%d9%85%d8%a7%d8%aa-%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d9%85%d8%b9-%d8%a7%d9%84%d8%a3%d9%85%d8%ab\/"},"modified":"2023-09-17T07:29:56","modified_gmt":"2023-09-17T07:29:56","slug":"%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a-%d9%84%d9%84%d9%85%d9%88%d9%86%d9%88%d9%85%d8%a7%d8%aa-%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d9%85%d8%b9-%d8%a7%d9%84%d8%a3%d9%85%d8%ab","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a-%d9%84%d9%84%d9%85%d9%88%d9%86%d9%88%d9%85%d8%a7%d8%aa-%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d9%85%d8%b9-%d8%a7%d9%84%d8%a3%d9%85%d8%ab\/","title":{"rendered":"\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u062c\u0628\u0631\u064a \u0644\u0644\u0648\u062d\u064a\u062f\u0627\u062a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0623\u062d\u0627\u062f\u064a \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0648\u062d\u062a\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0648\u0636\u062d \u062e\u0635\u0627\u0626\u0635 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Como-multiplicar-monomios\"><\/span>\u0643\u064a\u0641\u064a\u0629 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d\u060c \u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u060c \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0623\u0646 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u064a \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f. \u0644\u0630\u0644\u0643 \u0646\u0646\u0635\u062d\u0643 \u0628\u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0648\u0646\u0648\u0645\u0627\u062a\/\">\u0634\u0631\u062d \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f<\/a><\/span><\/strong> \u0642\u0628\u0644 \u0627\u0644\u0645\u062a\u0627\u0628\u0639\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u064a\u062a\u0645 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0646\u062a\u064a\u062c\u0629 <strong>\u0636\u0631\u0628 \u0648\u062d\u062f\u062a\u064a\u0646<\/strong> \u0647\u064a \u0648\u062d\u064a\u062f\u0629 \u062d\u062f \u0623\u062e\u0631\u0649 \u0645\u0639\u0627\u0645\u0644\u0647\u0627 \u0647\u0648 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f \u0648\u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u062d\u0631\u0641\u064a \u0645\u0646\u0647\u0627 \u0628\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0623\u0633\u0627\u0633\u060c \u0623\u064a \u0639\u0646 \u0637\u0631\u064a\u0642 \u062c\u0645\u0639 \u0623\u0633\u0633\u0647\u0627. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\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=\"\u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0645\u0639 \u0627\u0644\u0623\u0633\u0633\" class=\"wp-image-203\" width=\"194\" height=\"196\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0636\u0631\u0628 \u0648\u062d\u062f\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u0636\u0631\u0628 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0628\u064a\u0646\u0647\u0645\u0627 \u0648\u0646\u062c\u0645\u0639 \u0623\u0633\u0633 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0623\u0633\u0627\u0633.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c <strong>\u0625\u0630\u0627 \u0636\u0631\u0628\u0646\u0627 \u0648\u062d\u062f\u062a\u064a\u0646 \u0644\u0647\u0645\u0627 \u0642\u0648\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629<\/strong> \u060c \u0641\u0633\u0646\u062d\u062a\u0627\u062c \u0628\u0628\u0633\u0627\u0637\u0629 \u0625\u0644\u0649 \u0636\u0631\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a\u0647\u0645\u0627 \u0645\u0639\u064b\u0627 \u0648\u062a\u0631\u0643 \u0627\u0644\u0642\u0648\u0649 \u0643\u0645\u0627 \u0647\u064a. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 <strong>\u0642\u0627\u0639\u062f\u0629 (\u0623\u0648 \u0642\u0627\u0646\u0648\u0646) \u0627\u0644\u0639\u0644\u0627\u0645\u0627\u062a<\/strong> \u062a\u0646\u0637\u0628\u0642 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u060c \u0644\u0623\u0646 \u0627\u0644\u0636\u0631\u0628 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0639\u0645\u0644\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u0629. \u0644\u0630\u0627:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0648\u062c\u0628\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0648\u062d\u064a\u062f\u0629 \u062d\u062f \u0645\u0648\u062c\u0628\u0629 \u0623\u062e\u0631\u0649 \u062a\u0633\u0627\u0648\u064a \u0648\u062d\u064a\u062f\u0629 \u062d\u062f \u0645\u0648\u062c\u0628\u0629:<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e2a155d86c571f8b9207dd30dfc03a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^6\\cdot 4x^3 = 8x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"><span style=\"color:#000000;font-weight: normal;\">\u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0648\u062c\u0628\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0633\u0627\u0644\u0628\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0643\u0633) \u062a\u0639\u0627\u062f\u0644 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0633\u0627\u0644\u0628\u0629:<\/span> <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e635dfc7bb40f6a27f1388dd863e57a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x^6\\cdot 4x^3 = -8x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"143\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-532ca30b6ce7087107b23026d56113bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^6\\cdot (-4x^3) = -8x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"157\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0627\u062b\u0646\u064a\u0646 \u0645\u0646 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u0633\u0644\u0628\u064a\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0645\u0639\u064b\u0627 \u062a\u0639\u0637\u064a \u0623\u062d\u0627\u062f\u064a\u0629 \u062d\u062f \u0645\u0648\u062c\u0628\u0629:<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61211090ded1d43cbbacca6e99cc68d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x^6\\cdot (-4x^3) = 8x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062c\u062f\u0631 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0625\u0644\u0649 \u0623\u0646 \u0625\u062c\u0631\u0627\u0621 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0654\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u062a\u0642\u0633\u064a\u0645-\u0627\u0644\u0645\u0648\u0646\u0648\u0645\u0627\u062a-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\"><strong><span style=\"text-decoration: underline;\">\u062a\u0642\u0633\u064a\u0645 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f<\/span><\/strong><\/a> \u064a\u062a\u0645 \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0644 \u0647\u0648 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627. \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u0646\u0648\u0635\u064a\u0643 \u0628\u0632\u064a\u0627\u0631\u0629 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u062d\u064a\u062b \u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u062a\u0642\u0633\u064a\u0645 \u0627\u062b\u0646\u064a\u0646 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u0639 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-multiplicaciones-de-monomios\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u062d\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0636\u0631\u0628 \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f \u0628\u0648\u0636\u0648\u062d\u060c \u0646\u062a\u0631\u0643 \u0644\u0643 \u0623\u062f\u0646\u0627\u0647 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0636\u0631\u0628 \u0628\u064a\u0646 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:25px;text-align:right;direction:rtl\"><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-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<p><\/span><\/li>\n<li style=\"margin-bottom:25px;text-align:right;direction:rtl\"><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-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<p><\/span><\/li>\n<li style=\"margin-bottom:25px;text-align:right;direction:rtl\"><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-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<p><\/span><\/li>\n<li style=\"margin-bottom:25px;text-align:right;direction:rtl\"><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-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<p><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"><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-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<p><\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-multiplicacion-de-monomios\"><\/span> \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0639\u0644\u0649 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0623\u0643\u062b\u0631:<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b2966b66c4b16041122e639142e7bcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^4\\cdot x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da823cb11d28cc8c5150d9c82bede60c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 2y^8\\cdot (-5y^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66dcbde9536c1464bdeacbfe4d066c8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5x^7\\cdot 6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a23c0a17fcd36ffcc9ea8e51fff493f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -4a^3 \\cdot (-2a)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"132\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong> <\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20efcf3552dfa730574118a72f936ef4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^4\\cdot x^5 = (3\\cdot 1)x^{4+5} = \\bm{3x^9}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9df50340278ae741ac52f48a38ee5200_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 2y^8\\cdot (-5y^6)= (2\\cdot (-5))y^{8+6} = \\bm{-10y^{14}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b78b12508f9cae31f2c9629d54b02a04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5x^7\\cdot 6x^2=(5\\cdot 6)x^{7+2} = \\bm{30x^9}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"254\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e76e2eccf1ce05294c39055383a22d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -4a^3 \\cdot (-2a) =(-4\\cdot (-2))a^{3+1} = \\bm{8a^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"325\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a13941526446de65e5188475b0ea7de0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^3\\cdot 4x \\cdot (-3x^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a9f455c93714598e9674a632e1d9062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -5x^6\\cdot (-x^3) \\cdot  (-9x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db69563517fc85e08af5030b411f9114_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 3b^2 \\cdot (-3b^2) \\cdot 6 b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3dfaef0272445d282e740813afdfd89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 7x^3 \\cdot 3x^2 \\cdot 2x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"131\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong> <\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e8e74576a123474efdcc8c91a9790d82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^3\\cdot 4x \\cdot (-3x^6) = 8x^4\\cdot (-3x^6) = \\bm{-24x^{10}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"349\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6317863f115d6e3bba5f4ecf03bedfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -5x^6\\cdot (-x^3) \\cdot  (-9x^4)=5x^9\\cdot (-9x^4) =\\bm{-45x^{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"396\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-743a7d411fcb347e96683bd7b1c277e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 3b^2 \\cdot (-3b^2) \\cdot 6 b^4=-9b^4\\cdot 6 b^4 =\\bm{ -54b^8}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"320\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1a9d640c1629c5047c54dfd81875d6ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 7x^3 \\cdot 3x^2 \\cdot 2x^7 = 21x^5\\cdot 2x^7 = \\bm{42x^{12}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0633\u0651\u0637 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0642\u062f\u0631 \u0627\u0644\u0625\u0645\u0643\u0627\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da45476eeb19e88b8c1e10bdce19a65e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 8x^3y^2 \\cdot 5x^4y^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa74b10e67a2c8a272a1c9efe8323560_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -6x^5y^2z \\cdot (-4x^4y^9z^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d0744f268ff87f0416482d8c8a7caba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -4a^3b^8 \\cdot 5 a^3c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a87d7315d5e94a3c11b44e35267ae65c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  7x^3y^2 \\cdot 5x^8z^4 \\cdot (-2x^2y^5z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"226\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong> <\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-135a047a3847098b675fa240084f7ec9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 8x^3y^2 \\cdot 5x^4y^7 = \\bm{40x^7y^9}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b3c4c0eb52606eee450b7346121722ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -6x^5y^2z \\cdot (-4x^4y^9z^2) = \\bm{24x^9y^{11}z^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"300\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b0dbaaa22c70cb0b04ec69ac8cdd901_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -4a^3b^8 \\cdot 5 a^3c^2 = \\bm{-20a^6b^8c^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"245\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;;text-align:right;direction:rtl\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4810644ac307c976e9fba621612325e_l3.png\" height=\"131\" width=\"865\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{D)} \\  7x^3y^2 \\cdot 5x^8z^4 \\cdot (-2x^2y^5z^3)= <span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb20ebb96e0dff759d07813f6fff9470_l3.png&quot; height=&quot;22&quot; width=&quot;195&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[35x^{11}y^2z^4\\cdot (-2x^2y^5z^3) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{-70x^{13}y^7z^7}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-multiplicacion-de-monomios\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a \u0627\u0644\u062d\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062d\u062a\u0648\u064a \u0645\u0646\u062a\u062c \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0625\u0628\u062f\u0627\u0644<\/strong> : \u062a\u0631\u062a\u064a\u0628 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0644\u0627 \u064a\u063a\u064a\u0631 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0636\u0631\u0628.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbf793ba721782e5f755715ee11ca3b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^5 \\cdot 2x^4 = 6x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-184241d9ec2c69af48f36f6700db959a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^4 \\cdot 3x^5 = 6x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0631\u0627\u0628\u0637\u064a\u0629<\/strong> : \u0639\u0646\u062f \u0636\u0631\u0628 \u062b\u0644\u0627\u062b\u0629 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u0646\u0627\u062a\u062c \u0647\u0648 \u0646\u0641\u0633\u0647 \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0643\u064a\u0641\u064a\u0629 \u062a\u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u0648\u0627\u0645\u0644:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39e6c05df0f9938aa2bf63ede33299d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x \\cdot 4x^2) \\cdot 3x^5 = 24x^8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-755e055722ef8c0fe45dc0b1a6c3526e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x \\cdot (4x^2 \\cdot 3x^5) = 24x^8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<\/strong> : \u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u062f\u062a\u064a\u0646 \u0645\u0636\u0631\u0648\u0628\u0627 \u0641\u064a \u0627\u0644\u062b\u0644\u062b \u064a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0643\u0644 \u0625\u0636\u0627\u0641\u0629 \u0645\u0636\u0631\u0648\u0628\u0627 \u0641\u064a \u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u062b\u0627\u0644\u062b\u0629. <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b68365005bee1dbe3e518e9842cd66a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^6 \\cdot (3x^4+5x^4) = 4x^6 \\cdot 3x^4 + 4x^6 \\cdot 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0623\u062d\u0627\u062f\u064a \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0648\u062d\u062a\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0648\u0636\u062d \u062e\u0635\u0627\u0626\u0635 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f. \u0643\u064a\u0641\u064a\u0629 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d\u060c \u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u060c \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0623\u0646 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u064a \u0648\u062d\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u062f. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a-%d9%84%d9%84%d9%85%d9%88%d9%86%d9%88%d9%85%d8%a7%d8%aa-%d8%a7%d9%84%d8%b6%d8%b1%d8%a8-%d9%85%d8%b9-%d8%a7%d9%84%d8%a3%d9%85%d8%ab\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u062c\u0628\u0631\u064a \u0644\u0644\u0648\u062d\u064a\u062f\u0627\u062a<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &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-53","post","type-post","status-publish","format-standard","hentry","category-13"],"yoast_head":"<!-- This site is optimized 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