{"id":60,"date":"2023-09-17T07:22:32","date_gmt":"2023-09-17T07:22:32","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%bb%a3%e6%95%b0%e3%81%ae%e5%88%86%e6%95%b0%e3%81%ae%e5%8d%98%e7%b4%94%e5%8c%96%e3%81%95%e3%82%8c%e3%81%9f%e6%bc%94%e7%ae%97%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e4%b9%97%e7%ae%97%e9%99%a4%e7%ae%97\/"},"modified":"2023-09-17T07:22:32","modified_gmt":"2023-09-17T07:22:32","slug":"%e4%bb%a3%e6%95%b0%e3%81%ae%e5%88%86%e6%95%b0%e3%81%ae%e5%8d%98%e7%b4%94%e5%8c%96%e3%81%95%e3%82%8c%e3%81%9f%e6%bc%94%e7%ae%97%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e4%b9%97%e7%ae%97%e9%99%a4%e7%ae%97","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%bb%a3%e6%95%b0%e3%81%ae%e5%88%86%e6%95%b0%e3%81%ae%e5%8d%98%e7%b4%94%e5%8c%96%e3%81%95%e3%82%8c%e3%81%9f%e6%bc%94%e7%ae%97%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e4%b9%97%e7%ae%97%e9%99%a4%e7%ae%97\/","title":{"rendered":"\u4ee3\u6570\u306e\u5206\u6570: \u7c21\u7565\u5316\u3001\u6f14\u7b97\u3001\u6f14\u7fd2\u554f\u984c\u306a\u3069\u2026"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u4ee3\u6570\u5206\u6570\u3068\u306f\u4f55\u304b\u3001\u305d\u308c\u3089\u304c\u7b49\u3057\u3044\u5834\u5408\u3001\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3059\u308b\u65b9\u6cd5\u3001\u304a\u3088\u3073\u4ee3\u6570\u5206\u6570\u3092\u4f7f\u7528\u3057\u305f\u6f14\u7b97 (\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u4e57\u7b97\u3001\u9664\u7b97) \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ee3\u6570\u5206\u6570\u306e\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u3053\u3053\u3067\u306f\u4ee3\u6570\u5206\u6570\u306b\u95a2\u3059\u308b\u3059\u3079\u3066\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u5206\u6570\u3068\u306f\u4f55\u3067\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u6570\u5b66\u306b\u304a\u3051\u308b<strong>\u4ee3\u6570\u5206\u6570\u306f<\/strong>\u3001\u5206\u5b50\u306b\u591a\u9805\u5f0f\u3001\u5206\u6bcd\u306b\u5225\u306e\u591a\u9805\u5f0f\u3092\u6301\u3064\u5206\u6570\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fractions-algebriques.jpg\" alt=\"\u4ee3\u6570\u5206\u6570\u3092\u89e3\u304f\" class=\"wp-image-1594\" width=\"135\" height=\"135\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u305f\u3068\u3048\u3070\u3001\u4e0a\u8a18\u306e\u5206\u6570\u5f0f\u306f\u3001\u5206\u5b50\u3068\u5206\u6bcd\u304c\u591a\u9805\u5f0f\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Fracciones-algebraicas-equivalentes\"><\/span>\u4ee3\u6570\u7684\u306a\u5206\u6570\u76f8\u5f53<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ee3\u6570\u306e\u5206\u6570\u306e\u5b9a\u7fa9\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u306e\u3088\u3046\u306a 2 \u3064\u306e\u5206\u6570\u304c\u7b49\u3057\u3044\u5834\u5408\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001\u6b21\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u30012 \u3064\u306e<strong>\u4ee3\u6570\u5206\u6570\u306f\u7b49\u4fa1\u3067\u3059<\/strong>\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fractions-equivalentes-algebriques.jpg\" alt=\"\u7b49\u4fa1\u306a\u4ee3\u6570\u5206\u6570\u306e\u4f8b\" class=\"wp-image-1599\" width=\"454\" height=\"55\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5206\u6570\u304c\u4ee3\u6570\u7684\u306b\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u9805\u3092\u6a2a\u65b9\u5411\u306b\u4e57\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u6b21\u306b\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u65b9\u7a0b\u5f0f\u306e\u4e21\u5074\u3067\u540c\u3058\u5f0f\u304c\u5f97\u3089\u308c\u305f\u305f\u3081\u3001\u3053\u308c\u3089\u306f\u5b9f\u8cea\u7684\u306b 2 \u3064\u306e\u7b49\u4fa1\u306a\u4ee3\u6570\u5206\u6570\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Simplificar-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u4ee3\u6570\u5206\u6570\u3092\u5358\u7d14\u5316\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u591a\u9805\u5f0f\u306e\u5206\u5b50\u3068\u5206\u6bcd\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u6b21\u306b\u305d\u308c\u3089\u306b\u5171\u901a\u3059\u308b\u56e0\u6570\u3092\u9664\u53bb\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u660e\u3089\u304b\u306b\u3001\u4ee3\u6570\u5206\u6570\u3092\u5358\u7d14\u5316\u3059\u308b\u306b\u306f\u3001<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\">\u591a\u9805\u5f0f\u56e0\u6570\u5206\u89e3\u3068\u306f\u4f55\u304b<\/a><\/span><\/strong>\u3001\u307e\u305f\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u65b9\u6cd5\u304c\u307e\u3060\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u3001\u307e\u305f\u306f\u5b8c\u5168\u306b\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u7d9a\u884c\u3059\u308b\u524d\u306b\u30ea\u30f3\u30af\u5148\u306e\u30da\u30fc\u30b8\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 \u305d\u3046\u3057\u306a\u3044\u3068\u3001\u624b\u9806\u304c\u307b\u3068\u3093\u3069\u7406\u89e3\u3067\u304d\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u65b9\u6cd5\u3092\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3057\u3066\u304a\u308a\u3001\u3055\u3089\u306b\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u3066\u3001\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u65b9\u6cd5\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u4ee3\u6570\u5206\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u7c21\u7565\u5316\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u307e\u305a\u3001\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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> \u2b06(\u591a\u9805\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3055\u308c\u305f\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u4e0a\u306e\u30ea\u30f3\u30af\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044)\u2b06<\/p>\n<p>\u305d\u3057\u3066\u3001\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u305f\u3089\u3001\u5206\u5b50\u3068\u5206\u6bcd\u306e\u9593\u306e\u5171\u901a\u56e0\u6570\u3092\u524a\u9664\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u7e70\u308a\u8fd4\u3055\u308c\u308b\u9805\u3092\u3059\u3079\u3066\u524a\u9664\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3057\u305f\u304c\u3063\u3066\u3001\u7c21\u7565\u5316\u3055\u308c\u305f\u4ee3\u6570\u5206\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u4ee3\u6570\u5206\u6570\u306e\u591a\u9805\u5f0f\u306f\u6839\u3092\u6c42\u3081\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u56e0\u6570\u5206\u89e3\u3055\u308c\u307e\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5171\u901a\u56e0\u6570\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u76f4\u63a5\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059 (\u3088\u308a\u9ad8\u901f\u306a\u65b9\u6cd5)\u3002\u3053\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u591a\u9805\u5f0f\u304b\u3089<a href=\"https:\/\/mathority.org\/ja\/\u62bd\u51fa-\u62bd\u51fa\u6f14\u7fd2-\u5171\u901a\u56e0\u6570\u306e\u89e3\u6c7a\u4f8b\/\"><strong><span style=\"text-decoration: underline;\">\u5171\u901a\u56e0\u6570\u3092\u53d6\u5f97\u3059\u308b\u3053\u3068\u304c<\/span><\/strong><\/a>\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u3092\u78ba\u8a8d\u3057\u3001\u5171\u901a\u56e0\u6570\u3092\u4f7f\u7528\u3057\u3066<span style=\"text-decoration: underline;\">\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3059\u308b\u65b9\u6cd5\u3092<\/span>\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Operaciones-con-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u4f7f\u3063\u305f\u6f14\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u5206\u6570\u3068\u540c\u69d8\u306b\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u4f7f\u7528\u3057\u305f\u6f14\u7b97\u3082\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u4e57\u7b97\u3001\u9664\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u5404\u30bf\u30a4\u30d7\u306e\u6f14\u7b97\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u4f8b\u3092\u6319\u3052\u3066\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-y-resta-de-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u52a0\u7b97\u3068\u6e1b\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4ee3\u6570\u5206\u6570\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u306e\u624b\u9806\u306f\u5b9f\u8cea\u7684\u306b\u540c\u3058\u306a\u306e\u3067\u3001\u4e00\u7dd2\u306b\u89e3\u6790\u3057\u307e\u3059\u3002\u6700\u521d\u306b 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u3092\u52a0\u7b97\u3059\u308b\u4f8b\u3092\u898b\u3066\u3001\u4ee5\u4e0b\u3067\u306f\u4ee3\u6570\u5206\u6570\u3092\u6e1b\u7b97\u3059\u308b\u65b9\u6cd5\u306e\u9055\u3044\u3092\u8abf\u3079\u307e\u3059\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u52a0\u7b97<\/h4>\n<p class=\"has-background\" id=\"block-1594a5f3-1254-4c9e-bbd8-f79bfe778fd8\" style=\"background-color:#ffebee\"><strong>\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u52a0\u7b97\u306f\u3001<\/strong>\u901a\u5e38\u306e\u5206\u6570\u306e\u5834\u5408\u3068\u540c\u3058\u65b9\u6cd5\u3067\u884c\u308f\u308c\u307e\u3059\u3002\u307e\u305a\u3001\u5206\u6570\u3092\u516c\u5206\u6bcd\u306b\u6e1b\u3089\u3057\u3001\u6b21\u306b\u5206\u5b50\u3092\u52a0\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p id=\"block-1395699d-4152-4cd4-8029-52152aa81ba2\">\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u3001\u4ee3\u6570\u5206\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u52a0\u7b97\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u307e\u305a\u3001\u5206\u6570\u306e\u5206\u6bcd\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\">\u6b21\u306b\u3001\u5206\u6570\u3092\u516c\u5206\u6bcd\u306b\u6e1b\u3089\u3059\u305f\u3081\u306b\u3001<strong>\u5206\u6bcd\u306e<\/strong><strong>lcm<\/strong> (\u6700\u5c0f\u516c\u500d\u6570) \u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<p class=\"has-background\" id=\"block-42b361c5-dc91-4928-bf6a-cbd2d278158d\" style=\"background-color:#fffde7\"><strong>\u30d2\u30f3\u30c8:<\/strong>\u5206\u6bcd\u306e lcm \u306f\u3001\u5e38\u306b<strong>\u3001\u5171\u901a\u306e\u56e0\u6570\u3092\u6700\u5927\u306e\u6307\u6570\u306b\u4e57\u3058\u305f<\/strong>\u7a4d\u304b\u3089<strong>\u3001\u975e\u5171\u901a\u306e\u56e0\u6570<\/strong>\u3092\u4e57\u7b97\u3057\u3066\u5f62\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u79c1\u305f\u3061\u306e\u5834\u5408<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5206\u6bcd\u3092\u6700\u5927\u7d2f\u4e57\u3057\u305f\u516c\u7d04\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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>\u305d\u3057\u3066\u3001\u5206\u6bcd\u9593\u306e\u975e\u5171\u901a\u56e0\u6570\u306f\u3001<\/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>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u306e\u5206\u6bcd\u306e lcm \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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\">\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6bcd\u306e lcm \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u306f 2 \u3064\u306e\u5206\u6570\u306e\u65b0\u3057\u3044\u5206\u6bcd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u5171\u901a\u5206\u6bcd\u3092\u898b\u3064\u3051\u305f\u3089\u3001\u5206\u5b50\u3092\u5909\u66f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u901a\u5e38\u306e\u5206\u6570\u306e\u52a0\u7b97\u3068\u540c\u3058\u30d7\u30ed\u30bb\u30b9\u306b\u5f93\u3044\u307e\u3059\u3002\u5404\u5206\u6570\u306b\u3064\u3044\u3066 lcm \u3092\u9664\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5143\u306e\u5206\u6bcd\u3068\u305d\u306e\u7d50\u679c\u3092\u5206\u5b50\u3067\u4e57\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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\"> 2 \u3064\u306e\u5206\u6570\u306f\u5206\u6bcd\u304c\u540c\u3058\u306a\u306e\u3067\u3001\u3053\u308c\u3089\u3092\u307e\u3068\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u6700\u5f8c\u306b\u3001\u5206\u5b50\u3092\u64cd\u4f5c\u3057\u307e\u3059\u3002\u307e\u305a\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u6b21\u306b\u3001\u540c\u69d8\u306e\u9805\u3092\u5206\u5b50\u306b\u8ffd\u52a0\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u901a\u5e38\u306f\u3059\u3067\u306b\u305d\u3053\u306b\u5230\u9054\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u3053\u306e\u554f\u984c\u3092\u8a73\u3057\u304f\u898b\u308b\u3068\u3001\u5206\u5b50\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u524a\u9664\u3059\u308b\u3053\u3068\u3067\u4ee3\u6570\u5206\u6570\u3092\u3055\u3089\u306b\u5358\u7d14\u5316\u3067\u304d\u307e\u3059\u3002\u307e\u3060\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u4ee3\u6570\u5206\u6570\u306e\u5408\u8a08\u306f\u3059\u3067\u306b\u5b8c\u6210\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u6e1b\u7b97<\/h4>\n<p class=\"has-background\" id=\"block-1594a5f3-1254-4c9e-bbd8-f79bfe778fd8\" style=\"background-color:#ffebee\"><strong>\u4ee3\u6570\u5206\u6570\u3092\u6e1b\u7b97\u3059\u308b\u306b\u306f\u3001<\/strong>\u4ee3\u6570\u5206\u6570\u3092\u52a0\u7b97\u3059\u308b\u5834\u5408\u3068\u540c\u69d8\u306e\u624b\u9806\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u3001\u5206\u6570\u3092\u516c\u5206\u6bcd\u306b\u6e1b\u7b97\u3057\u3001\u6b21\u306b\u5206\u5b50\u3092\u6e1b\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p id=\"block-1395699d-4152-4cd4-8029-52152aa81ba2\">\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u6e1b\u7b97\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <\/p>\n<p class=\"has-text-align-center\" id=\"block-626dfe43-b064-405b-a4e5-64f8f9d2f3b8\">\n<\/p>\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\">\u307e\u305a\u30012 \u3064\u306e\u5206\u6570\u306e\u5206\u6bcd\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u901a\u5e38\u306e\u5206\u6570\u306e\u6e1b\u7b97\u3068\u540c\u69d8\u306b\u3001<strong>\u5206\u6bcd\u306e<\/strong><strong>lcm<\/strong> (\u6700\u5c0f\u516c\u500d\u6570) \u3092\u8a08\u7b97\u3057\u3066\u3001\u5206\u6570\u3092\u516c\u5206\u6bcd\u306b\u6e1b\u3089\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u5206\u6bcd\u306e lcm \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u306f 2 \u3064\u306e\u5206\u6570\u306e\u65b0\u3057\u3044\u5206\u6bcd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u3053\u3053\u3067\u3001\u901a\u5e38\u306e\u5206\u6570\u3092\u6e1b\u7b97\u3059\u308b\u5834\u5408\u3068\u540c\u3058\u30d7\u30ed\u30bb\u30b9\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u5404\u5206\u6570\u306b\u3064\u3044\u3066 lcm \u3092\u9664\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5143\u306e\u5206\u6bcd\u3068\u305d\u306e\u7d50\u679c\u3092\u5206\u5b50\u3067\u4e57\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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\"> 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u306f\u5206\u6bcd\u304c\u540c\u3058\u306a\u306e\u3067\u3001\u3053\u308c\u3089\u3092\u7d50\u5408\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u305d\u3057\u3066\u5206\u5b50\u3092\u64cd\u4f5c\u3057\u307e\u3059\u3002\u307e\u305a\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u4ee3\u6570\u306e\u5206\u6570\u3092\u5f15\u304d\u7b97\u3059\u308b\u3068\u304d\u306b\u975e\u5e38\u306b\u3088\u304f\u3042\u308b\u9593\u9055\u3044\u306f\u3001\u3053\u306e\u4e57\u7b97\u3092\u5b9f\u884c\u3057\u305f\u5f8c\u306b\u62ec\u5f27\u3092\u5165\u308c\u308b\u306e\u3092\u5fd8\u308c\u308b\u3053\u3068\u3067\u3059\u3002\u8ca0\u306e\u7b26\u53f7\u306f\u6700\u521d\u306e\u9805\u3060\u3051\u3067\u306a\u304f\u3001\u7a4d\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u8981\u7d20\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u30a8\u30e9\u30fc\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u62ec\u5f27\u5185\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3057\u305f\u304c\u3063\u3066\u3001\u8ca0\u7b26\u53f7\u306e\u304a\u304b\u3052\u3067\u3001\u62ec\u5f27\u5185\u306e\u3059\u3079\u3066\u306e\u9805\u306e\u7b26\u53f7\u3092\u5909\u66f4\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u985e\u4f3c\u3057\u305f\u5358\u9805\u5f0f\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u4e57\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u4e57\u7b97\u3059\u308b\u306b\u306f\u3001<\/strong>\u6700\u521d\u306b\u305d\u306e\u5206\u6570\u306e\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u6b21\u306b\u5206\u5b50\u540c\u58eb\u3092\u4e57\u7b97\u3057\u3001\u5206\u6bcd\u540c\u58eb\u3092\u4e57\u7b97\u3057\u3001\u6700\u5f8c\u306b\u5f97\u3089\u308c\u305f\u5206\u6570\u3092\u5358\u7d14\u5316\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u7a4d\u306f\u3001\u5b9f\u969b\u306b\u306f\u901a\u5e38\u306e\u5206\u6570\u306e\u7a4d\u3068\u540c\u3058\u65b9\u6cd5\u3067\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u3092\u4e57\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u307e\u305a\u6700\u521d\u306b\u3001\u5206\u6570\u306e\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3001\u5206\u5b50\u3068\u5206\u6bcd\u306e\u4e21\u65b9\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3067\u306f\u3001\u5206\u6570\u306e\u639b\u3051\u7b97\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5206\u5b50\u3068\u5206\u6bcd\u3092\u639b\u3051\u5408\u308f\u305b\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u6700\u5f8c\u306b\u3001\u5206\u6bcd\u3068\u5206\u5b50\u3067\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u5b50\u3092\u5358\u7d14\u5316\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u3057\u305f\u304c\u3063\u3066\u3001\u4e57\u7b97\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5206\u6570\u3092\u3053\u308c\u4ee5\u4e0a\u5358\u7d14\u5316\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u4e57\u7b97\u306f\u3059\u3067\u306b\u5b8c\u4e86\u3057\u3066\u3044\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u7684\u306a\u5206\u6570\u306e\u5272\u308a\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u4ee3\u6570\u5206\u6570\u306e\u5272\u308a\u7b97<\/strong>\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u6b21\u306b\u5206\u6570\u3092\u6a2a\u65b9\u5411\u306b\u4e57\u7b97\u3057 (\u6700\u521d\u306e\u5206\u5b50\u3068 2 \u756a\u76ee\u306e\u5206\u6bcd\u3001\u6700\u521d\u306e\u5206\u6bcd\u3068 2 \u756a\u76ee\u306e\u5206\u5b50)\u3001\u6700\u5f8c\u306b\u4ee3\u6570\u5206\u6570\u3092\u5358\u7d14\u5316\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u9664\u7b97\u3055\u308c\u308b\u304b\u3092\u8a73\u3057\u304f\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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> 2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u3092\u9664\u7b97\u3059\u308b\u6700\u521d\u306e\u30b9\u30c6\u30c3\u30d7\u306f\u3001\u6f14\u7b97\u306b\u542b\u307e\u308c\u308b\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u6b21\u306b\u3001\u5206\u6570\u3092\u5272\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5206\u6570\u3092\u6a2a\u65b9\u5411\u306b\u4e57\u7b97\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u521d\u306e\u5206\u5b50\u306b 2 \u756a\u76ee\u306e\u5206\u6bcd\u3092\u4e57\u7b97\u3057\u3001\u305d\u306e\u7d50\u679c\u304c\u65b0\u3057\u3044\u5206\u6570\u306e\u5206\u5b50\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u540c\u69d8\u306b\u3001\u6700\u521d\u306e\u5206\u6bcd\u306b 2 \u756a\u76ee\u306e\u5206\u5b50\u3092\u4e57\u7b97\u3057\u307e\u3059\u3002\u7d50\u679c\u306f\u65b0\u3057\u3044\u5206\u6570\u306e\u5206\u6bcd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u5206\u6bcd\u3068\u5206\u5b50\u3067\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u5b50\u3092\u5358\u7d14\u5316\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u305d\u3057\u3066\u3001\u5206\u6570\u3092\u3055\u3089\u306b\u5358\u7d14\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u5206\u6570\u3092\u3053\u308c\u4ee5\u4e0a\u5358\u7d14\u5316\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4ee3\u6570\u7684\u306a\u5206\u6570\u306f\u3059\u3067\u306b\u5206\u5272\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-fracciones-algebraicas\"><\/span>\u4ee3\u6570\u5206\u6570\u306e\u6f14\u7fd2\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ee5\u4e0b\u3067\u306f\u3001\u4ee3\u6570\u5206\u6570\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7df4\u7fd2\u3057\u3066\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3054\u8cea\u554f\u304c\u3054\u3056\u3044\u307e\u3057\u305f\u3089\u3001\u4ee5\u4e0b\u306e\u30b3\u30e1\u30f3\u30c8\u6b04\u306b\u3054\u8a18\u5165\u304f\u3060\u3055\u3044\u3002 \ud83d\udcac\ud83d\udcac\ud83d\udcac<\/p>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u4ee3\u6570\u5206\u6570\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u4ee3\u6570\u5206\u6570\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u3092\u6a2a\u65b9\u5411\u306b\u4e57\u7b97\u3057\u3001\u7b49\u3057\u304f\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u6700\u521d\u3068 2 \u756a\u76ee\u306e\u5206\u6570\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\">\u65b9\u7a0b\u5f0f\u306e\u5de6\u5074\u306b\u3042\u308b\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u3053\u306e\u5834\u5408\u3001\u7b49\u53f7\u304c\u5f97\u3089\u308c\u305f\u305f\u3081\u3001\u6700\u521d\u306e\u5206\u6570\u3068 2 \u756a\u76ee\u306e\u5206\u6570\u306f\u4ee3\u6570\u7684\u306b\u7b49\u3057\u3044\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u540c\u3058\u624b\u9806\u3092\u6700\u521d\u3068 3 \u756a\u76ee\u306e\u4ee3\u6570\u5206\u6570\u306b\u3082\u9069\u7528\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\">\u305f\u3060\u3057\u3001\u4eca\u56de\u306f\u4ee3\u6570\u7684\u306a\u5206\u6570\u304c\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3057\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u6700\u521d\u3068 3 \u756a\u76ee\u306e\u5206\u6570\u306f\u6570\u5b66\u7684\u306b\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u7d50\u8ad6\u3068\u3057\u3066\u30013 \u756a\u76ee\u306e\u5206\u6570\u306f\u6700\u521d\u306e\u5206\u6570\u3068\u306f\u7570\u306a\u308a\u3001\u3057\u305f\u304c\u3063\u3066 1 \u756a\u76ee\u3068 2 \u756a\u76ee\u306e\u5206\u6570\u306f\u7b49\u3057\u3044\u305f\u3081\u30012 \u756a\u76ee\u306e\u5206\u6570\u3068\u3082\u7b49\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4ee3\u6570\u5206\u6570\u3092\u5358\u7d14\u5316\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f\u306e\u5206\u5b50\u3068\u5206\u6bcd\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u6570\u3092\u53d6\u308a\u9664\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u3060\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u4ee3\u6570\u5206\u6570\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u52a0\u7b97 (\u307e\u305f\u306f\u6e1b\u7b97) \u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5206\u6570\u3092\u516c\u5206\u6bcd\u306b\u6e1b\u7b97\u3057\u3001\u6b21\u306b\u5206\u5b50\u3092\u52a0\u7b97 (\u307e\u305f\u306f\u6e1b\u7b97) \u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u6b21\u306e\u4ee3\u6570\u5206\u6570\u306e\u4e57\u7b97\u3068\u9664\u7b97\u3092\u89e3\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4ee3\u6570\u7684\u306a\u5206\u6570\u3092\u4e57\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u6b21\u306b\u5206\u5b50\u3068\u5206\u6bcd\u3092\u639b\u3051\u5408\u308f\u305b\u3066\u3001\u6700\u5f8c\u306b\u7d50\u679c\u306e\u5206\u6570\u3092\u5358\u7d14\u5316\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\">\u4e00\u65b9\u3001\u4ee3\u6570\u5206\u6570\u3092\u9664\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3001\u6b21\u306b\u5206\u6570\u3092\u6a2a\u65b9\u5411\u306b\u4e57\u7b97\u3057 (\u6700\u521d\u306e\u5206\u5b50\u3068 2 \u756a\u76ee\u306e\u5206\u6bcd\u3001\u6700\u521d\u306e\u5206\u6bcd\u3068 2 \u756a\u76ee\u306e\u5206\u5b50)\u3001\u6700\u5f8c\u306b\u6c42\u3081\u3089\u308c\u305f\u4ee3\u6570\u5206\u6570\u3092\u5358\u7d14\u5316\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\"><\/div>\n<p>\u305d\u306e\u8aac\u660e\u306b\u3064\u3044\u3066\u3069\u3046\u601d\u3044\u307e\u3059\u304b\uff1f\u6c17\u306b\u5165\u308a\u307e\u3057\u305f\u304b\uff1f\u305d\u308c\u3068\u3082\u4f55\u304b\u63d0\u6848\u306f\u3042\u308a\u307e\u3059\u304b\uff1f \ud83d\udcac \u3053\u306e\u30da\u30fc\u30b8\u306b\u3064\u3044\u3066\u306e\u3054\u610f\u898b\u3092\u30b3\u30e1\u30f3\u30c8\u6b04\u3067\u304a\u805e\u304b\u305b\u304f\u3060\u3055\u3044\u3002\u7686\u3055\u3093\u3082\u8aad\u3093\u3067\u3044\u307e\u3059\u3088\uff01 \ud83d\udc40 \u3054\u8cea\u554f\u3082\u3059\u3079\u3066\u304a\u5bc4\u305b\u3044\u305f\u3060\u3051\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002 \u2754\ud83d\udc47\u2754\ud83d\udc47<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u4ee3\u6570\u5206\u6570\u3068\u306f\u4f55\u304b\u3001\u305d\u308c\u3089\u304c\u7b49\u3057\u3044\u5834\u5408\u3001\u4ee3\u6570\u5206\u6570\u3092\u7c21\u7565\u5316\u3059\u308b\u65b9\u6cd5\u3001\u304a\u3088\u3073\u4ee3\u6570\u5206\u6570\u3092\u4f7f\u7528\u3057\u305f\u6f14\u7b97 (\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u4e57\u7b97\u3001\u9664\u7b97) \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u4ee3\u6570\u5206\u6570\u306e\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%bb%a3%e6%95%b0%e3%81%ae%e5%88%86%e6%95%b0%e3%81%ae%e5%8d%98%e7%b4%94%e5%8c%96%e3%81%95%e3%82%8c%e3%81%9f%e6%bc%94%e7%ae%97%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e4%b9%97%e7%ae%97%e9%99%a4%e7%ae%97\/\"> <span class=\"screen-reader-text\">\u4ee3\u6570\u306e\u5206\u6570: \u7c21\u7565\u5316\u3001\u6f14\u7b97\u3001\u6f14\u7fd2\u554f\u984c\u306a\u3069\u2026<\/span> \u3082\u3063\u3068\u8aad\u3080 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