{"id":63,"date":"2023-09-17T07:22:32","date_gmt":"2023-09-17T07:22:32","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/"},"modified":"2023-09-17T07:22:32","modified_gmt":"2023-09-17T07:22:32","slug":"%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/","title":{"rendered":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 (\u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629). \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 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-fracciones-algebraicas\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f <span class=\"ez-toc-section-end\"><\/span><\/h2>\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 <strong>\u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a<\/strong> \u0647\u0648 \u0643\u0633\u0631 \u0644\u0647 \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0645\u062a\u0639\u062f\u062f\u0629 \u062d\u062f\u0648\u062f \u0623\u062e\u0631\u0649 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645. <\/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\/fractions-algebriques.jpg\" alt=\"\u062d\u0644 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\" class=\"wp-image-1594\" width=\"135\" height=\"135\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0643\u0633\u0631\u064a \u0623\u0639\u0644\u0627\u0647 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0643\u0633\u0631 \u062c\u0628\u0631\u064a \u0644\u0623\u0646 \u0628\u0633\u0637\u0647 \u0648\u0645\u0642\u0627\u0645\u0647 \u064a\u062a\u0643\u0648\u0646\u0627\u0646 \u0645\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Fracciones-algebraicas-equivalentes\"><\/span> \u0645\u0639\u0627\u062f\u0644 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0645\u062a\u0649 \u064a\u0643\u0648\u0646 \u0627\u062b\u0646\u0627\u0646 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0643\u0633\u0648\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0631\u064a\u0627\u0636\u064a\u0627\u064b\u060c <strong>\u064a\u0643\u0648\u0646 \u0643\u0633\u0631\u0627\u0646 \u062c\u0628\u0631\u064a\u0627\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u064a\u0646<\/strong> \u0625\u0630\u0627 \u062a\u062d\u0642\u0642 \u0627\u0644\u0634\u0631\u0637 \u0627\u0644\u062a\u0627\u0644\u064a: <\/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\/exemples-de-fractions-equivalentes-algebriques.jpg\" alt=\"\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\" class=\"wp-image-1599\" width=\"454\" height=\"55\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0643\u0633\u0631\u0627\u0646 \u0627\u0644\u062c\u0628\u0631\u064a\u0627\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u0627\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u064a\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-6ba3a266ca555e28002e4c27378731ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{x^2+5x+6} \\qquad \\cfrac{1}{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"167\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u0633\u0648\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u062c\u0628\u0631\u064a\u064b\u0627\u060c \u0646\u0636\u0631\u0628 \u062d\u062f\u0648\u062f\u0647\u0627 \u0639\u0631\u0636\u064a\u064b\u0627:<\/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-358c219d5ec5e8ba791c0f3f807d7f1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+3)\\cdot (x+2) = (x^2+5x+6)\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"268\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-106b457477b09880c099437a8aaebd46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+3x+6 = x^2+5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"242\" style=\"vertical-align: -2px;\"><\/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-48884f070eddcdf12f0f4389e4a4b44d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+5x+6 = x^2+5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"202\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0646\u0641\u0633\u0647 \u0641\u064a \u0637\u0631\u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\u060c \u0644\u0630\u0627 \u0641\u0647\u0645\u0627 \u0643\u0633\u0631\u0627\u0646 \u062c\u0628\u0631\u064a\u0627\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u0627\u0646. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Simplificar-fracciones-algebraicas\"><\/span> \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0644\u062a\u0628\u0633\u064a\u0637 \u0643\u0633\u0631 \u062c\u0628\u0631\u064a\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u064b\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u060c \u062b\u0645 \u062d\u0630\u0641 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646\u0647\u0645\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646\u0647 \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0623\u0646 \u062a\u0639\u0631\u0641 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\">\u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f<\/a><\/span><\/strong> \u0648\u0643\u064a\u0641 \u064a\u062a\u0645 \u0630\u0644\u0643. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0632\u0627\u0644 \u0644\u0627 \u062a\u0639\u0631\u0641 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0623\u0648 \u0644\u0627 \u062a\u062a\u0630\u0643\u0631\u0647\u0627 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u0625\u0646\u0646\u064a \u0623\u0648\u0635\u064a \u0628\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0642\u0628\u0644 \u0627\u0644\u0645\u062a\u0627\u0628\u0639\u0629\u060c \u0648\u0625\u0644\u0627 \u0641\u0644\u0646 \u062a\u0641\u0647\u0645 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0625\u0644\u0627 \u0628\u0627\u0644\u0643\u0627\u062f. \u0641\u0647\u0648 \u064a\u0634\u0631\u062d \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644\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\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0637\u0631\u064a\u0642\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0628\u0633\u0651\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0627\u0644\u062a\u0627\u0644\u064a:<\/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-9d4a5d7aff1a98650ab53864b88f40f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^3+2x^2-x-2}{x^2-2x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"129\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0628\u0633\u0637 \u0648\u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631:<\/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-44fc5a57c780655bb62672a6bf0cf283_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x-1)(x+1)(x+2)}{(x-1)(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"164\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u2b06(\u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0642\u0645 \u0628\u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637 \u0623\u0639\u0644\u0627\u0647)\u2b06<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0630\u0641 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u060c \u0623\u064a \u0623\u0646\u0646\u0627 \u0646\u062d\u0630\u0641 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u062a\u0643\u0631\u0631\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-efa638e7cb20b509ce8671d761fb8e7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cancel{(x-1)}(x+1)(x+2)}{\\cancel{(x-1)}(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"164\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0627\u0644\u0645\u0628\u0633\u0637 \u064a\u0628\u062f\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/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-ae61b98cdf3f19dc83782b9bfc4a6809_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+1)(x+2)}{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"109\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u062a\u0645 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0645\u0646 \u062e\u0644\u0627\u0644 \u0625\u064a\u062c\u0627\u062f \u062c\u0630\u0648\u0631\u0647\u0627\u061b \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u064a\u0645\u0643\u0646 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0628\u0627\u0634\u0631\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0623\u062e\u0630 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 (\u0637\u0631\u064a\u0642\u0629 \u0623\u0633\u0631\u0639 \u0628\u0643\u062b\u064a\u0631). \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u0633\u062a\u0631\u0649 \u0645\u0627 \u064a\u0639\u0646\u064a\u0647 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0633\u062a\u062e\u0631\u0627\u062c-\u0627\u0633\u062a\u062e\u0631\u0627\u062c-\u062a\u0645\u0627\u0631\u064a\u0646-\u0627\u0644\u0639\u0627\u0645\u0644-\u0627\u0644\u0645\u0634\u062a\u0631\u0643-\u062d\u0644-\u0627\u0644\u0627\u0654\u0645\u062b\u0644\u0629\/\"><strong><span style=\"text-decoration: underline;\">\u0623\u062e\u0630 \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643<\/span><\/strong><\/a> \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 <span style=\"text-decoration: underline;\">\u0643\u064a\u0641\u064a\u0629 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a<\/span> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0639\u0627\u0645\u0644 \u0645\u0634\u062a\u0631\u0643. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Operaciones-con-fracciones-algebraicas\"><\/span> \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0644 \u0623\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0643\u0633\u0648\u0631\u060c \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u060c \u064a\u0645\u0643\u0646 \u062c\u0645\u0639 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0637\u0631\u062d\u0647\u0627 \u0648\u0636\u0631\u0628\u0647\u0627 \u0648\u062a\u0642\u0633\u064a\u0645\u0647\u0627. \u0646\u0648\u0636\u062d \u0623\u062f\u0646\u0627\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0645\u0639 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Suma-y-resta-de-fracciones-algebraicas\"><\/span> \u062c\u0645\u0639 \u0648\u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u0625\u062c\u0631\u0627\u0621 \u062c\u0645\u0639 \u0648\u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0645\u062a\u0637\u0627\u0628\u0642 \u0639\u0645\u0644\u064a\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644\u0647\u0627 \u0645\u0639\u064b\u0627. \u0633\u0646\u0631\u0649 \u0623\u0648\u0644\u0627 \u0645\u062b\u0627\u0644\u0627 \u0639\u0644\u0649 \u0643\u0633\u0631\u064a\u0646 \u062c\u0628\u0631\u064a\u064a\u0646 \u0645\u0636\u0627\u0641\u064a\u0646\u060c \u0648\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0633\u0646\u062f\u0631\u0633 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629.<\/p>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 <\/h4>\n<p class=\"has-background\" id=\"block-1594a5f3-1254-4c9e-bbd8-f79bfe778fd8\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u062a\u062a\u0645 <strong>\u0639\u0645\u0644\u064a\u0629 \u062c\u0645\u0639 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<\/strong> \u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062a\u0628\u0639\u0629 \u0645\u0639 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u0629: \u0642\u0645 \u0623\u0648\u0644\u064b\u0627 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0648\u0631 \u0625\u0644\u0649 \u0645\u0642\u0627\u0645 \u0645\u0634\u062a\u0631\u0643 \u062b\u0645 \u0642\u0645 \u0628\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0628\u0633\u0637\u064a\u0646.<\/p>\n<p id=\"block-1395699d-4152-4cd4-8029-52152aa81ba2\" style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u062a\u062a\u0645 \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \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-27852f0123fcecbe8be07c1cbe492d1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{x^2+2x+1} + \\cfrac{3x}{x^2+x}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"163\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p id=\"block-3672173b-c7e6-44a1-8522-63b08b168ddb\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u062d\u0644\u064a\u0644 \u0645\u0642\u0627\u0645\u0627\u062a \u0627\u0644\u0643\u0633\u0648\u0631: <\/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-d76a27785a43860878e20f9f19f8d85f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{(x+1)(x+1)} + \\cfrac{3x}{x(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"197\" style=\"vertical-align: -17px;\"><\/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-ae0b117b67b96ab97cc34f0395452809_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{(x+1)^2} + \\cfrac{3x}{x(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"151\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-816f8d98-19a3-4b75-8c9f-21fc82303588\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u062a\u0627\u062c \u0627\u0644\u0622\u0646 \u0625\u0644\u0649 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0636\u0627\u0639\u0641 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 <strong>\u0627\u0644\u0623\u0635\u063a\u0631<\/strong> <strong>\u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a<\/strong> \u0644\u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0643\u0633\u0648\u0631 \u0625\u0644\u0649 \u0645\u0642\u0627\u0645 \u0645\u0634\u062a\u0631\u0643. <\/p>\n<p class=\"has-background\" id=\"block-42b361c5-dc91-4928-bf6a-cbd2d278158d\" style=\"background-color:#fffde7;text-align:right;direction:rtl\"> <strong>\u0646\u0635\u064a\u062d\u0629:<\/strong> \u064a\u062a\u0645 \u062f\u0627\u0626\u0645\u064b\u0627 \u062a\u0643\u0648\u064a\u0646 lcm \u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0645\u0646 \u062d\u0627\u0635\u0644 <strong>\u0636\u0631\u0628 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u064a\u0646\u0647\u0627 \u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0633 \u0627\u0644\u0623\u0643\u0628\u0631<\/strong> \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a <strong>\u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u062d\u0627\u0644\u062a\u0646\u0627<\/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-ae0b117b67b96ab97cc34f0395452809_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{(x+1)^2} + \\cfrac{3x}{x(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"151\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0642\u0627\u0633\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u0627\u0644\u0645\u0642\u0627\u0645\u064a\u0646 \u0645\u0631\u0641\u0648\u0639\u0627\u064b \u0644\u0644\u0623\u0633 \u0627\u0644\u0623\u0643\u0628\u0631 \u0647\u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-431f3a0fe905f53a3bba14fdcd2184c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+1)^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0639\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0628\u064a\u0646 \u0627\u0644\u0645\u0642\u0627\u0645\u064a\u0646 \u0647\u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9cc293b28f198c32e0356b52e2e23bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 lcm \u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0647\u0648:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d532daf990ee1d21f27629c90976a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+1)^2 \\cdot x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-436a726a-70a7-40da-a208-7769b5622363\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 lcm \u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0647\u0648<\/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-61abd769b2c8924619fc1de9990437b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+1)^2 \\cdot x,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0633\u064a\u0643\u0648\u0646 \u0647\u0630\u0627 \u0647\u0648 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062c\u062f\u064a\u062f \u0644\u0644\u0643\u0633\u0631\u064a\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-4ac9ff4f5390125209474030fdbc2a87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{(x+1)^2} + \\cfrac{3x}{x(x+1)} \\ \\longrightarrow \\ \\cfrac{}{x(x+1)^2} + \\cfrac{}{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"371\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-3640c36e-b28c-4faa-8152-67d85f2974c6\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0642\u0627\u0633\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0639\u062f\u064a\u0644 \u0627\u0644\u0628\u0633\u0637. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062a\u0628\u0639 \u0646\u0641\u0633 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u062a\u0628\u0639\u0629 \u0641\u064a \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u0629: \u0644\u0643\u0644 \u0643\u0633\u0631 \u0646\u0642\u0633\u0645 lcm<\/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-657731178831ef2525fd245d9ca550b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl( \\ x(x+1)^2 \\ \\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"96\" style=\"vertical-align: -7px;\"><\/p>\n<p> \u0628\u064a\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0635\u0644\u064a \u0648\u0636\u0631\u0628 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0641\u064a \u0627\u0644\u0628\u0633\u0637: <\/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-4f7789228cada95f0a43a23b00ee3e1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x(x+1)^2}{(x+1)^2} = \\cfrac{x\\cancel{(x+1)^2}}{\\cancel{(x+1)^2}} = \\color{red}\\bm{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"230\" style=\"vertical-align: -17px;\"><\/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-85ce335cfa9eeb59efcc2ea66bb7fc0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x(x+1)^2}{x(x+1)}= \\cfrac{\\cancel{x}(x+1)^\\cancel{2}}{\\cancel{x}\\cancel{(x+1)}}=\\color{blue} \\bm{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"265\" style=\"vertical-align: -17px;\"><\/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-64f36b1034879522e19c809ed07216aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x}{(x+1)^2} + \\cfrac{3x}{x(x+1)} \\ \\longrightarrow \\ \\cfrac{x \\cdot \\color{red}\\bm{x} \\color{black} }{x(x+1)^2} + \\cfrac{3x \\cdot \\color{blue} \\bm{(x+1)} \\color{black}}{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"483\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-eb2ac5b7-1160-4287-8f77-09fa899a0782\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u064a\u0645\u0643\u0646\u0646\u0627 \u062c\u0645\u0639 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0645\u0639\u064b\u0627 \u0644\u0623\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u0642\u0627\u0645:<\/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-f2cb949a7a18557fb88da6579adfa641_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2+3x(x+1)}{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"113\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-bda62c37-98b4-4d75-94f5-69cd7d6b2a00\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0628\u0633\u0637. \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0639\u0645\u0644 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0648\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-3572c0c661f3766c98fec0ea7bef241a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2 +3x\\cdot x+ 3x\\cdot 1 }{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"144\" style=\"vertical-align: -17px;\"><\/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-da3f5de85cee840ea70185242cd4e56d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2 +3x^2 + 3x }{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"107\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0634\u0627\u0628\u0647\u0629 \u0625\u0644\u0649 \u0627\u0644\u0628\u0633\u0637:<\/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-0569c5469be3e30f70b75ca5cb648e19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4x^2 + 3x }{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"73\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0627\u062f\u0629 \u0646\u0643\u0648\u0646 \u0642\u062f \u0648\u0635\u0644\u0646\u0627 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0628\u0627\u0644\u0641\u0639\u0644\u060c \u0644\u0643\u0646 \u0625\u0630\u0627 \u0646\u0638\u0631\u0646\u0627 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0639\u0646 \u0643\u062b\u0628\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0628\u0634\u0643\u0644 \u0623\u0643\u0628\u0631 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0645\u0646 \u0627\u0644\u0628\u0633\u0637. \u062d\u062a\u0649 \u0627\u0644\u0622\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-c3a36483296f8ccd582c06b3d6f656df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x(4x + 3)}{x(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"74\" style=\"vertical-align: -17px;\"><\/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-fe08e4b3b69fc920878413f5f35724e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cancel{x}(4x + 3)}{\\cancel{x}(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"74\" style=\"vertical-align: -17px;\"><\/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-d320996e579c62a49d8a244591243d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4x + 3}{(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"63\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u0646\u0643\u0648\u0646 \u0642\u062f \u0623\u0643\u0645\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0627\u0644\u062c\u0628\u0631\u064a\u064a\u0646.<\/p>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 <\/h4>\n<p class=\"has-background\" id=\"block-1594a5f3-1254-4c9e-bbd8-f79bfe778fd8\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> <strong>\u0644\u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c<\/strong> \u064a\u062c\u0628 \u0623\u0646 \u0646\u062a\u0628\u0639 \u0625\u062c\u0631\u0627\u0621\u064b \u0645\u0634\u0627\u0628\u0647\u064b\u0627 \u0644\u062c\u0645\u0639 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0623\u0648\u0644\u064b\u0627 \u0646\u062e\u062a\u0635\u0631 \u0627\u0644\u0643\u0633\u0648\u0631 \u0625\u0644\u0649 \u0645\u0642\u0627\u0645 \u0645\u0634\u062a\u0631\u0643\u060c \u062b\u0645 \u0646\u0637\u0631\u062d \u0627\u0644\u0628\u0633\u0637\u064a\u0646.<\/p>\n<p id=\"block-1395699d-4152-4cd4-8029-52152aa81ba2\" style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0628\u0645\u062b\u0627\u0644: <\/p>\n<p class=\"has-text-align-center\" id=\"block-626dfe43-b064-405b-a4e5-64f8f9d2f3b8\" style=\";text-align:right;direction:rtl\">\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-230f5d12513bd0aa34943bf0bd1bc662_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x}{x^2-x-6} - \\cfrac{4x-3}{(x+2)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-3672173b-c7e6-44a1-8522-63b08b168ddb\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0645\u0642\u0627\u0645\u064a \u0627\u0644\u0643\u0633\u0631\u064a\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-a7203a6355aa93738a6e4da82bc98b82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x}{(x+2)(x-3)} - \\cfrac{4x-3}{(x+2)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"195\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-816f8d98-19a3-4b75-8c9f-21fc82303588\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0645\u0639 \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0636\u0627\u0639\u0641 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0627\u0644\u0623\u0635\u063a\u0631 ( <strong>lcm<\/strong> ) <strong>\u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a<\/strong> \u0644\u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0643\u0633\u0648\u0631 \u0625\u0644\u0649 \u0645\u0642\u0627\u0645 \u0645\u0634\u062a\u0631\u0643. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c lcm \u0644\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0647\u0648<\/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-7ef9edba310262ed53634436be5c90ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^2(x-3) ,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0633\u064a\u0643\u0648\u0646 \u0647\u0630\u0627 \u0647\u0648 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062c\u062f\u064a\u062f \u0644\u0644\u0643\u0633\u0631\u064a\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-79f2882bb4ddf2035540641da2bd5db9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x}{(x+2)(x-3)} - \\cfrac{4x-3}{(x+2)^2} \\ \\longrightarrow \\ \\cfrac{}{(x+2)^2(x-3)} + \\cfrac{}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"504\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-3640c36e-b28c-4faa-8152-67d85f2974c6\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 \u0646\u0641\u0633 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u062a\u0628\u0639\u0629 \u0641\u064a \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u0629: \u0644\u0643\u0644 \u0643\u0633\u0631 \u0646\u0642\u0633\u0645 lcm<\/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-657731178831ef2525fd245d9ca550b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl( \\ x(x+1)^2 \\ \\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"96\" style=\"vertical-align: -7px;\"><\/p>\n<p> \u0628\u064a\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0635\u0644\u064a \u0648\u0636\u0631\u0628 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0641\u064a \u0627\u0644\u0628\u0633\u0637: <\/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-c9d52f52e2bff5eace93764529daef0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+2)^2(x-3)}{(x+2)(x-3)} = \\cfrac{(x+2)^{\\cancel{2}}\\cancel{(x-3)}}{\\canel{(x+2)}\\cancel{(x-3)}} = \\color{red}\\bm{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"348\" style=\"vertical-align: -17px;\"><\/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-f2846ba14540fe74dd89606e3a527840_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+2)^2(x-3)}{(x+2)^2}= \\cfrac{\\cancel{(x+2)^2}(x-3)}{\\cancel{(x+2)^2}}=\\color{blue} \\bm{x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"355\" style=\"vertical-align: -17px;\"><\/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-d0cf478a0cf48972d8610efeebc10cd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x}{(x+2)(x-3)} - \\cfrac{4x-3}{(x+2)^2} \\ \\longrightarrow \\ \\cfrac{2x\\cdot \\color{red}\\bm{(x+2)} \\color{black}}{(x+2)^2(x-3)} + \\cfrac{(4x-3)\\cdot \\color{blue} \\bm{(x-3)} \\color{black}}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"580\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-eb2ac5b7-1160-4287-8f77-09fa899a0782\" style=\";text-align:right;direction:rtl\"> \u0646\u062c\u0645\u0639 \u0627\u0644\u0622\u0646 \u0628\u064a\u0646 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0627\u0644\u062c\u0628\u0631\u064a\u064a\u0646 \u062d\u064a\u062b \u0623\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u0642\u0627\u0645:<\/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-76d9503723192264d7c0525f1dc5a762_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x(x+2)-(4x-3)(x-3)}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"213\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p id=\"block-bda62c37-98b4-4d75-94f5-69cd7d6b2a00\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0639\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u0633\u0637. \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0644 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-9a0a7d0ab0b62fced99150257d2646d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4x-\\bigl[4x^2-12x-3x+9\\bigr]}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"252\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7;text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u062c\u062f\u064b\u0627 \u0639\u0646\u062f \u0637\u0631\u062d \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0647\u0648 \u0646\u0633\u064a\u0627\u0646 \u0648\u0636\u0639 \u0642\u0648\u0633\u064a\u0646 \u0628\u0639\u062f \u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0636\u0631\u0628. \u0633\u064a\u0643\u0648\u0646 \u0647\u0630\u0627 \u062e\u0637\u0623 \u0644\u0623\u0646 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u062a\u0624\u062b\u0631 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u062a\u062c\u060c \u0648\u0644\u064a\u0633 \u0641\u0642\u0637 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u064a\u0646 \u0642\u0648\u0633\u064a\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-afa68a0ebcbad358f5454b2d98a1b813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4x-\\bigl[4x^2-15x+9\\bigr]}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"211\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0647\u0643\u0630\u0627\u060c \u0648\u0628\u0641\u0636\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0633\u0627\u0644\u0628\u0629\u060c \u0646\u063a\u064a\u0631 \u0625\u0634\u0627\u0631\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0628\u064a\u0646 \u0627\u0644\u0642\u0648\u0633\u064a\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-dedff86768aa41641373644dbd64e9c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4x-4x^2+15x-9}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"196\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u062c\u0645\u064a\u0639 \u0623\u062d\u0627\u062f\u064a\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u062a\u0634\u0627\u0628\u0647\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-c622a1e2620a264cb373c3b0e37b164d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-2x^2+19x-9}{(x+2)^2(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"129\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-fracciones-algebraicas\"><\/span> \u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> <strong>\u0644\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c<\/strong> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629\u060c \u062b\u0645 \u0646\u0636\u0631\u0628 \u0627\u0644\u0628\u0633\u0637 \u0641\u064a \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0641\u064a \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0628\u0646\u0641\u0633 \u0637\u0631\u064a\u0642\u0629 \u062d\u0633\u0627\u0628 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0636\u0631\u0628 \u0643\u0633\u0631\u064a\u0646 \u062c\u0628\u0631\u064a\u064a\u0646 \u0628\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-b3c8c26c3bbb6d88c38bf4c8ef88da96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x}{x^2+x-2} \\cdot \\cfrac{x^2-6x+5}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"185\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0639\u0644\u064a\u0643 \u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u062d\u062f\u0648\u062f \u0627\u0644\u0643\u0633\u0648\u0631\u060c \u0633\u0648\u0627\u0621 \u0627\u0644\u0628\u0633\u0637 \u0623\u0648 \u0627\u0644\u0645\u0642\u0627\u0645:<\/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-05d90fbe961a4a9cb043923b03dad497_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x}{(x-1)(x+2)} \\cdot \\cfrac{(x-1)(x-5)}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"233\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u0631\u0628 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0645\u0639\u064b\u0627:<\/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-722813021488c38da6ce48b4a52e8d57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x \\cdot (x-1)(x-5)}{(x-1)(x+2)\\cdot (x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"177\" style=\"vertical-align: -17px;\"><\/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-184ba5c9f9ac4c307273d787e8448d83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x(x-1)(x-5)}{(x-1)(x+2)(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"164\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0648\u0627\u0644\u0628\u0633\u0637:<\/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-9e62697ec3544aa9fd4d668c8e6e8594_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x\\cancel{(x-1)}(x-5)}{\\cancel{(x-1)}(x+2)(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"164\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0636\u0631\u0628 \u0647\u064a:<\/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-768cd7cd7f16a3c0481bfff2b1a56943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3x(x-5)}{(x+2)(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"109\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643. \u0648\u0628\u0630\u0644\u0643 \u0646\u0643\u0648\u0646 \u0642\u062f \u0627\u0646\u062a\u0647\u064a\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0645\u0646 \u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Division-de-fracciones-algebraicas\"><\/span> \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 <strong>\u0642\u0633\u0645\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<\/strong> \u060c \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u062b\u0645 \u0646\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0628\u0634\u0643\u0644 \u0639\u0631\u0636\u064a (\u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0648\u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u062b\u0627\u0646\u064a)\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0642\u0633\u064a\u0645 \u0643\u0633\u0631\u064a\u0646 \u062c\u0628\u0631\u064a\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \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-b6d69f56a5f8e07ece76cd2cc7af7758_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^3-7x-6}{2x^2-8} : \\cfrac{x^2+2x+1}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"196\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0641\u064a \u0642\u0633\u0645\u0629 \u0643\u0633\u0631\u064a\u0646 \u062c\u0628\u0631\u064a\u064a\u0646 \u0647\u064a \u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\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-545baef30b02392b2ff48771efc53723_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+1)(x+2)(x-3)}{2(x-2)(x+2)} : \\cfrac{(x+1)^2}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"243\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0643\u0633\u0648\u0631. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0639\u0631\u0636\u064a\u0627\u060c \u0623\u064a \u064a\u062a\u0645 \u0636\u0631\u0628 \u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0648\u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0628\u0633\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u062f\u064a\u062f\u060c \u0648\u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u064a\u062a\u0645 \u0636\u0631\u0628 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u062b\u0627\u0646\u064a \u0648\u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u062f\u064a\u062f:<\/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-b4acdd6cd4da76cb20c3cadc6a5c1d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+1)(x+2)(x-3)\\cdot 6}{2(x-2)(x+2)\\cdot (x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"193\" style=\"vertical-align: -17px;\"><\/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-b7212e50bbac42806205c19de22a0551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6(x+1)(x+2)(x-3)}{2(x-2)(x+2)(x+1)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"180\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0648\u0627\u0644\u0628\u0633\u0637:<\/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-dae6e61f3285d1b55fb0aaac1b46137a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6\\cancel{(x+1)}\\cancel{(x+2)}(x-3)}{2(x-2)\\cancel{(x+2)}(x+1)^\\cancel{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"180\" style=\"vertical-align: -17px;\"><\/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-601bd6bee2dbd9229822ee5ed1200709_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6(x-3)}{2(x-2)(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"118\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0628\u0634\u0643\u0644 \u0623\u0643\u0628\u0631<\/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-1672db950e496c9affb548df70351d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6:2 = 3.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"69\" 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-44d5a5ff05275fd0222ff8c0569fdcba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3(x-3)}{(x-2)(x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"109\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643. \u0644\u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0628\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-fracciones-algebraicas\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u062f\u0645 \u0644\u0643 \u0623\u062f\u0646\u0627\u0647 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \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 \u062d\u0648\u0644 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0627\u0646\u062a\u0647\u0627\u0621 \u0645\u0646 \u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645. \u0644\u0627 \u062a\u0646\u0633 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646\u0643 \u0637\u0631\u062d \u0623\u064a \u0623\u0633\u0626\u0644\u0629 \u0644\u062f\u064a\u0643 \u0623\u062f\u0646\u0627\u0647 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a! \ud83d\udcac\ud83d\udcac\ud83d\udcac<\/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\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u062a\u0643\u0627\u0641\u0626\u0629 \u0623\u0645 \u0644\u0627: <\/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-f740b5268b9119666bd42176a4f86842_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{x^2-9} \\qquad \\cfrac{1}{x-3} \\qquad \\cfrac{x-3}{x^2+2x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"254\" style=\"vertical-align: -14px;\"><\/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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0643\u0633\u0631\u0627\u0646 \u062c\u0628\u0631\u064a\u0627\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u064a\u0646\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0636\u0631\u0628\u0647\u0645\u0627 \u0639\u0631\u0636\u064a\u064b\u0627 \u0648\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u062a \u0633\u062a\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629. \u0644\u0630\u0644\u0643 \u0633\u0648\u0641 \u0646\u062a\u062d\u0642\u0642 \u0623\u0648\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0646\u064a: <\/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-9318b0a40cd808d3abda878dc008bbd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{x^2-9}= \\cfrac{1}{x-3} \\quad ?\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"140\" style=\"vertical-align: -12px;\"><\/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-c81610b6d1d22e9611f533266d69b825_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+3)\\cdot (x-3)=(x^2-9)\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0644 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 \u0639\u0644\u0649 \u064a\u0633\u0627\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\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-b2818cb76662004522c70eea92249fad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=x^2-9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u2705<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u0645\u062a\u0633\u0627\u0648\u064a\u0627\u0646 \u062c\u0628\u0631\u064a\u064b\u0627.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0637\u0628\u0642 \u0627\u0644\u0622\u0646 \u0646\u0641\u0633 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0645\u0639 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0644\u062b: <\/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-ac874c5337fab5f612e80957bc114410_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{x^2-9}= \\cfrac{x-3}{x^2+2x-3} \\quad ?\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"189\" style=\"vertical-align: -14px;\"><\/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-919a4415bd1fdb158fa2d85693fdc234_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+3)\\cdot (x^2+2x-3)=(x^2-9)\\cdot(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"321\" 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-d03f74b88827f2678256a955e86489de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+2x^2-3x+3x^2+6x-9=x^3-3x^2-9x+27\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"397\" style=\"vertical-align: -2px;\"><\/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-405dbd6c82dedfdad2ffafa7e39caff0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+5x^2+3x-9=x^3-3x^2-9x+27\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"308\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u274c<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0644\u0627 \u062a\u062d\u0642\u0642 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0644\u062b \u0645\u062e\u062a\u0644\u0641\u0627\u0646 \u0631\u064a\u0627\u0636\u064a\u064b\u0627.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062b\u0627\u0644\u062b \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u0623\u0648\u0644\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064d \u0645\u0639 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0644\u0623\u0646 \u0627\u0644\u0643\u0633\u0631\u064a\u0646 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u0645\u062a\u0633\u0627\u0648\u064a\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-081129bba98116bf2c3236379c5fe973_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{x^2-9} = \\cfrac{1}{x-3} \\neq \\cfrac{x-3}{x^2+2x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"230\" style=\"vertical-align: -14px;\"><\/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\"> \u0628\u0633\u0651\u0637 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \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-fa89ac8c0a9e92441f00f58652927ad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{5x^2+10x}{11x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"105\" style=\"vertical-align: -12px;\"><\/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-82ba94360c06faf6048680b225f02cc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{x^2-4}{x^2+2x-8}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"117\" style=\"vertical-align: -14px;\"><\/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-cb654d3fdf52ba7fce13cd0a69acc692_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{x^3-2x^2-3x}{x^2-3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"135\" style=\"vertical-align: -12px;\"><\/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-abecf1c451ad906e117a46855f5cd7cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\cfrac{x^3-3x+2}{x^3+4x^2+x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"157\" style=\"vertical-align: -14px;\"><\/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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062a\u0628\u0633\u064a\u0637 \u0643\u0633\u0631 \u062c\u0628\u0631\u064a\u060c \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u060c \u062b\u0645 \u062d\u0630\u0641 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u0643\u0631\u0631\u0629. \u062d\u062a\u0649 \u0627\u0644\u0622\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-3f06c8f3d861d237ca41232418bd3e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\cfrac{5x^2+10x}{11x} =\\cfrac{5x(x+2)}{11x} = \\\\[4ex] =\\cfrac{5\\cancel{x}(x+2)}{11\\cancel{x}}= \\cfrac{\\bm{5(x+2)}}{\\bm{11}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"235\" 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-f9577181669de9b9760dfe7ed8425e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l} \\cfrac{x^2-4}{x^2+2x-8} = \\cfrac{(x-2)(x+2)}{(x-2)(x+4)}= \\\\[4ex] = \\cfrac{\\cancel{(x-2)}(x+2)}{\\cancel{(x-2)}(x+4)}=\\cfrac{\\bm{x+2}}{\\bm{x+4}}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"283\" 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-04505e35cce382f2905db108961c6718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l} \\cfrac{x^3-2x^2-3x}{x^2-3x} =  \\cfrac{x(x+1)(x-3)}{x(x-3)}}= \\\\[4ex] = \\cfrac{\\cancel{x} (x+1) \\cancel{x-3}}{\\cancel{x}\\cancel{(x-3)}} = \\cfrac{x+1}{1} = \\\\[4ex] = \\bm{x+1}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"149\" width=\"311\" 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-68ca63836b70d9aa6731e3271247d681_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l} \\cfrac{x^3-3x+2}{x^3+4x^2+x-6}=\\cfrac{(x-1)^2(x+2)}{(x-1)(x+3)(x+2)}= \\\\[4ex] = \\cfrac{(x-1)^{\\cancel{2}}\\cancel{(x+2)}}{\\cancel{(x-1)}(x+3)\\cancel{(x+2)}}=\\cfrac{\\bm{x-1}}{\\bm{x+3}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"378\" style=\"vertical-align: 0px;\"><\/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\"> \u0627\u062d\u0633\u0628 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\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-a96e5be1d4a8e7b216abe3f5a2bc0ddc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{4}{x^2+2x} + \\cfrac{3x-2}{x^2-x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -14px;\"><\/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-25e21ca9e99469748c58da61755e32ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{4x}{x^3+2x^2+x} - \\cfrac{2}{x^2-3x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"239\" style=\"vertical-align: -14px;\"><\/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-125740a48e020b23010873f17905c6ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{7x}{x^2-4x+4} + \\cfrac{-5}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"181\" style=\"vertical-align: -14px;\"><\/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-59ba454283d08de8fcc2e15d4967b00f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ x +\\cfrac{-3x}{x^2-4}  -  \\cfrac{2x^3-1}{2x^2+6x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"230\" style=\"vertical-align: -14px;\"><\/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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062c\u0645\u0639 (\u0623\u0648 \u0637\u0631\u062d) \u0643\u0633\u0648\u0631 \u062c\u0628\u0631\u064a\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u0643\u0633\u0648\u0631 \u0625\u0644\u0649 \u0645\u0642\u0627\u0645 \u0645\u0634\u062a\u0631\u0643\u060c \u062b\u0645 \u0625\u0636\u0627\u0641\u0629 (\u0623\u0648 \u0637\u0631\u062d) \u0627\u0644\u0628\u0633\u0637. \u0644\u0630\u0627: <\/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-6524d97070ae44570c7bbd75df0b6bb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\cfrac{4}{x^2+2x} + \\cfrac{3x-2}{x^2-x-6} = \\cfrac{4}{x(x+2)} + \\cfrac{3x-2}{(x+2)(x-3)} = \\\\[4ex] =\\cfrac{4\\cdot(x-3)}{x(x+2)\\cdot (x-3)} + \\cfrac{(3x-2)\\cdot x}{(x+2)(x-3)\\cdot x} = \\cfrac{4\\cdot(x-3) + (3x-2)\\cdot x}{x(x+2)(x-3)} = \\\\[4ex] = \\cfrac{4x-12 + 3x^2-2x}{x(x+2)(x-3)} = \\cfrac{  \\bm{3x^2+2x-12}}{\\bm{x(x+2)(x-3)}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"572\" 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-b228a6d7ced30d4dfdca7fa7653cec0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l} \\cfrac{4x}{x^3+2x^2+x} - \\cfrac{2}{x^2-3x-4} = \\cfrac{4x}{x(x+1)^2} - \\cfrac{2}{(x+1)(x-4)}= \\\\[4ex] = \\cfrac{4x \\cdot (x-4)}{x(x+1)^2 \\cdot (x-4)} - \\cfrac{2 \\cdot (x+1) \\cdot x}{(x+1)^2(x-4)\\cdot x}= \\cfrac{4x \\cdot (x-4) - 2 \\cdot (x+1) \\cdot x }{x(x+1)^2 (x-4) }= \\\\[4ex] = \\cfrac{4x^2 -16x - 2 \\cdot (x^2+x) }{x(x+1)^2 (x-4) }= \\cfrac{4x^2 -16x - 2x^2 - 2x }{x(x+1)^2  (x-4) } =\\\\[4ex] =\\cfrac{2x^2 -18x}{x(x+1)^2 (x-4)}=\\cfrac{x(2x -18)}{x(x+1)^2 (x-4)}= \\\\[4ex] = \\cfrac{\\bm{2x -18}}{\\bm{(x+1)^2 (x-4)}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"307\" width=\"609\" 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-541ca3698314f502dae6b4144ff2180e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\cfrac{7x}{x^2-4x+4} + \\cfrac{-5}{x-2}=\\cfrac{7x}{(x-2)^2} + \\cfrac{-5}{x-2}} = \\\\[4ex] = \\cfrac{7x}{(x-2)^2} + \\cfrac{-5\\cdot (x-2)}{(x-2)\\cdot (x-2)}=\\cfrac{7x}{(x-2)^2} + \\cfrac{-5\\cdot (x-2)}{(x-2)^2}= \\\\[4ex] = \\cfrac{7x + [-5\\cdot (x-2)] }{(x-2)^2}  =\\cfrac{7x -5\\cdot (x-2) }{(x-2)^2} = \\\\[4ex] = \\cfrac{7x -5x+10 }{(x-2)^2} = \\cfrac{ \\bm{2x+10}}{\\bm{(x-2)^2 } } \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"242\" width=\"495\" 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-eba4fb225a87d253ea56ae18460f89a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\begin{array}{l}  x +\\cfrac{-3x}{x^2-4}  -  \\cfrac{2x^3-1}{2x^2+6x+4}=\\cfrac{x}{1} +\\cfrac{-3x}{x^2-4}  -  \\cfrac{2x^3-1}{2x^2+6x+4}= \\\\[4ex] =x +\\cfrac{-3x}{(x-2)(x+2)}  -  \\cfrac{2x^3-1}{2(x+1)(x+2)}= \\\\[4ex] = \\cfrac{x\\cdot 2(x-2)(x+2)(x+1)}{1\\cdot 2(x-2)(x+2)(x+1)} \\ + \\ \\cfrac{-3x\\cdot 2(x+1)}{(x-2)(x+2)\\cdot 2(x+1)} \\ - \\  \\cfrac{(2x^3-1)\\cdot(x-2)}{2(x+1)(x+2)\\cdot (x+1)}= \\\\[4ex] = \\cfrac{ 2x(x-2)(x+2)(x+1)}{2(x-2)(x+2)(x+1)} \\ + \\ \\cfrac{-6x(x+1)}{2(x-2)(x+2)(x+1)} \\ - \\ \\cfrac{(2x^3-1)\\cdot(x-2)}{2(x-2)(x+2)(x+1)}= \\\\[4ex]= \\cfrac{ 2x^4+2x^3-8x^2-8x}{2(x-2)(x+2)(x+1)} \\ + \\ \\cfrac{-6x^2-6x}{2(x-2)(x+2)(x+1)} \\ - \\  \\cfrac{2x^4-4x^3-x+2}{2(x-2)(x+2)(x+1)} = \\\\[4ex] = \\cfrac{ 2x^4+2x^3-8x^2-8x -6x^2-6x  -  (2x^4-4x^3-x+2)}{2(x-2)(x+2)(x+1)} = \\\\[4ex] = \\cfrac{ 2x^4+2x^3-8x^2-8x -6x^2-6x  - 2x^4+4x^3+x-2}{2(x-2)(x+2)(x+1)} = \\\\[4ex] = \\cfrac{ \\bm{6x^3-14x^2-13x-2}}{\\bm{2(x-2)(x+2)(x+1)}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"508\" width=\"711\" style=\"vertical-align: 0px;\"><\/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 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0639\u0645\u0644\u064a\u0627\u062a \u0636\u0631\u0628 \u0648\u0642\u0633\u0645\u0629 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \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-6d07300122444585669fcc2bf1b8d1e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{x^2+5x+4}{7}\\cdot \\cfrac{x-1}{x^2-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"181\" style=\"vertical-align: -12px;\"><\/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-fa1e3c21cf05605c6a408df67189bd41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{3x^2+15x+18}{3x}\\cdot \\cfrac{x^2+x-2}{x^3+3x^2-x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"287\" style=\"vertical-align: -14px;\"><\/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-e9ff7ee82098d3295e3f3911f2e1ff8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{3x}{x^2+10x+25}:\\cfrac{2x}{x^2-25}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"209\" style=\"vertical-align: -14px;\"><\/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-6534e92d7d90ee190d64290189008587_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\cfrac{x^2+8x+15}{4x}:\\cfrac{x^2+4x-5}{2x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -12px;\"><\/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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u062b\u0645 \u0636\u0631\u0628 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645\u0627\u062a \u0645\u0639\u064b\u0627\u060c \u0648\u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u0646\u0627\u062a\u062c. <\/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-cc9600c8e95d957e9004296306ea25fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\cfrac{x^2+5x+4}{7}\\cdot \\cfrac{x-1}{x^2-1} = \\cfrac{(x+1)(x+4)}{7}\\cdot \\cfrac{x-1}{(x-1)(x+1)}\\\\[4ex] =\\cfrac{(x+1)(x+4)\\cdot (x-1)}{7 \\cdot (x-1)(x+1)}=\\cfrac{(x+1)(x+4) (x-1)}{7(x-1)(x+1)} = \\\\[4ex] = \\cfrac{\\cancel{(x+1)}(x+4)\\cancel{ (x-1)}}{7\\cancel{(x-1)}\\cancel{(x+1)}} = \\cfrac{\\bm{x+4}}{\\bm{7}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"178\" width=\"452\" 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-71554d3bb6d51cfd8c3202606ca1e6e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\cfrac{3x^2+15x+18}{3x}\\cdot \\cfrac{x^2+x-2}{x^3+3x^2-x-3} = \\cfrac{3(x+2)(x+3)}{3x}\\cdot \\cfrac{(x-1)(x+2)}{(x-1)(x+1)(x+3)}= \\\\[4ex] =\\cfrac{3(x+2)(x+3)\\cdot (x-1)(x+2)}{3x\\cdot (x-1)(x+1)(x+3)}=\\cfrac{3(x+2)(x+3) (x-1)(x+2)}{3x (x-1)(x+1)(x+3)} = \\\\[4ex] = \\cfrac{\\cancel{3}(x+2)\\cancel{(x+3)} \\cancel{(x-1)}(x+2)}{\\cancel{3}x \\cancel{(x-1)}(x+1)\\cancel{(x+3)}} = \\cfrac{(x+2)(x+2)}{x (x+1)} = \\\\[4ex] = \\cfrac{\\bm{(x+2)^2}}{\\bm{x (x+1)}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"244\" width=\"636\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u062d\u0644\u064a\u0644 \u062c\u0645\u064a\u0639 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u062b\u0645 \u0646\u0636\u0631\u0628 \u0627\u0644\u0643\u0633\u0648\u0631 \u0628\u0634\u0643\u0644 \u0639\u0631\u0636\u064a (\u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0648\u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0627\u0644\u062b\u0627\u0646\u064a)\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0627\u0644\u0645\u0648\u062c\u0648\u062f. <\/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-8994adaa1df1f24822c8102c0d1e69c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l} \\cfrac{3x}{x^2+10x+25}:\\cfrac{2x}{x^2-25}= \\cfrac{3x}{(x+5)^2}:\\cfrac{2x}{(x-5)(x+5)}=\\\\[4ex] = \\cfrac{3x\\cdot (x-5)(x+5)}{(x+5)^2\\cdot 2x}=\\cfrac{3x(x-5)(x+5)}{2x(x+5)^2 }= \\\\[4ex] =\\cfrac{3\\cancel{x}(x-5)\\cancel{(x+5)}}{2\\cancel{x}(x+5)^\\cancel{2}} = \\cfrac{\\bm{3(x-5)}}{\\bm{2(x+5)}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"453\" 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-961a9787bca20a2482c010586614793d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l} \\cfrac{x^2+8x+15}{4x}:\\cfrac{x^2+4x-5}{2x^2} = \\cfrac{(x+3)(x+5)}{4x}:\\cfrac{(x-1)(x+5)}{2x^2}= \\\\[4ex] = \\cfrac{(x+3)(x+5)\\cdot 2x^2 }{4x \\cdot (x-1)(x+5)} = \\cfrac{2x^2 (x+3)(x+5)}{4x (x-1)(x+5)} = \\\\[4ex] = \\cfrac{2x^{\\cancel{2}}(x+3)\\cancel{ (x+5)}}{4\\cancel{x} (x-1)\\cancel{ (x+5)}} =\\cfrac{2x(x+3)}{4(x-1)} =  \\cfrac{\\bm{x(x+3)}}{\\bm{2(x-1)}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"178\" width=\"524\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0631\u0623\u064a\u0643 \u0641\u064a \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u061f \u0647\u0644 \u0623\u062d\u0628\u0628\u062a\u0647\u0627\u061f \u0623\u0648 \u0647\u0644 \u0644\u062f\u064a\u0643 \u0623\u064a \u0627\u0642\u062a\u0631\u0627\u062d\u0627\u062a\u061f \ud83d\udcac \u0623\u062e\u0628\u0631\u0646\u0627 \u0628\u0631\u0623\u064a\u0643 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a! \u0646\u0642\u0631\u0623 \u0644\u0643\u0645 \u062c\u0645\u064a\u0639\u0627! \ud83d\udc40 \u0648\u0645\u0627 \u062a\u0646\u0633\u0648\u0627 \u0625\u0646\u0643\u0645 \u0643\u0645\u0627\u0646 \u062a\u0642\u062f\u0631\u0648\u0627 \u062a\u0633\u0623\u0644\u0648\u0646\u0627 \u0643\u0644 \u0623\u0633\u0626\u0644\u062a\u0643\u0645! \u2754\ud83d\udc47\u2754\ud83d\udc47<\/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>\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 (\u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629). \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 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0647\u0648 \u0643\u0633\u0631 \u0644\u0647 \u0643\u062b\u064a\u0631\u0629 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;<\/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":[17],"tags":[],"class_list":["post-63","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0643\u0633\u0648\u0631-\u0627\u0644\u062c\u0628\u0631\u064a\u0629-\u0639\u0645\u0644\u064a\u0627\u062a-\u0645\u0628\u0633\u0637\u0629-\u0627\u0644\u062c\u0645\u0639-\u0627\u0644\u0637\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -\" \/>\n<meta property=\"og:description\" content=\"\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 (\u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629). \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 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0647\u0648 \u0643\u0633\u0631 \u0644\u0647 \u0643\u062b\u064a\u0631\u0629 &hellip; \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230; \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0643\u0633\u0648\u0631-\u0627\u0644\u062c\u0628\u0631\u064a\u0629-\u0639\u0645\u0644\u064a\u0627\u062a-\u0645\u0628\u0633\u0637\u0629-\u0627\u0644\u062c\u0645\u0639-\u0627\u0644\u0637\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T07:22:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fractions-algebriques.jpg\" \/>\n<meta name=\"author\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\"},\"author\":{\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\"},\"headline\":\"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;\",\"datePublished\":\"2023-09-17T07:22:32+00:00\",\"dateModified\":\"2023-09-17T07:22:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\"},\"wordCount\":7,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"articleSection\":[\"\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629\"],\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\",\"url\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\",\"name\":\"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/#website\"},\"datePublished\":\"2023-09-17T07:22:32+00:00\",\"dateModified\":\"2023-09-17T07:22:32+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ar\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ar\/#website\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"name\":\"Mathority\",\"description\":\"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ar\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ar\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ar\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\",\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"\u0641\u0631\u064a\u0642 Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/ar\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0643\u0633\u0648\u0631-\u0627\u0644\u062c\u0628\u0631\u064a\u0629-\u0639\u0645\u0644\u064a\u0627\u062a-\u0645\u0628\u0633\u0637\u0629-\u0627\u0644\u062c\u0645\u0639-\u0627\u0644\u0637\/","og_locale":"ar_AR","og_type":"article","og_title":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -","og_description":"\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0648\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 (\u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629). \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 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u0644 \u0645\u0627 \u064a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0627\u0644\u0643\u0633\u0631 \u0627\u0644\u062c\u0628\u0631\u064a \u0647\u0648 \u0643\u0633\u0631 \u0644\u0647 \u0643\u062b\u064a\u0631\u0629 &hellip; \u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230; \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;","og_url":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0643\u0633\u0648\u0631-\u0627\u0644\u062c\u0628\u0631\u064a\u0629-\u0639\u0645\u0644\u064a\u0627\u062a-\u0645\u0628\u0633\u0637\u0629-\u0627\u0644\u062c\u0645\u0639-\u0627\u0644\u0637\/","article_published_time":"2023-09-17T07:22:32+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fractions-algebriques.jpg"}],"author":"\u0641\u0631\u064a\u0642 Mathority","twitter_card":"summary_large_image","twitter_misc":{"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629":"\u0641\u0631\u064a\u0642 Mathority"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/"},"author":{"name":"\u0641\u0631\u064a\u0642 Mathority","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613"},"headline":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;","datePublished":"2023-09-17T07:22:32+00:00","dateModified":"2023-09-17T07:22:32+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/"},"wordCount":7,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"articleSection":["\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629"],"inLanguage":"ar","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/","url":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/","name":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c \u0625\u0644\u062e. -","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/#website"},"datePublished":"2023-09-17T07:22:32+00:00","dateModified":"2023-09-17T07:22:32+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%83%d8%b3%d9%88%d8%b1-%d8%a7%d9%84%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%a8%d8%b3%d8%b7%d8%a9-%d8%a7%d9%84%d8%ac%d9%85%d8%b9-%d8%a7%d9%84%d8%b7\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ar\/"},{"@type":"ListItem","position":2,"name":"\u0627\u0644\u0643\u0633\u0648\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629: \u0627\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a\u060c \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\u060c&#8230;"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ar\/#website","url":"https:\/\/mathority.org\/ar\/","name":"Mathority","description":"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!","publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ar\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ar"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ar\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ar\/","logo":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613","name":"\u0641\u0631\u064a\u0642 Mathority","image":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"\u0641\u0631\u064a\u0642 Mathority"},"sameAs":["http:\/\/mathority.org\/ar"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/63","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/comments?post=63"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/63\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/media?parent=63"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/categories?post=63"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/tags?post=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}