{"id":59,"date":"2023-09-17T07:23:14","date_gmt":"2023-09-17T07:23:14","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%8a%bd%e5%87%ba-%e6%8a%bd%e5%87%ba%e6%bc%94%e7%bf%92-%e5%85%b1%e9%80%9a%e5%9b%a0%e6%95%b0%e3%81%ae%e8%a7%a3%e6%b1%ba%e4%be%8b\/"},"modified":"2023-09-17T07:23:14","modified_gmt":"2023-09-17T07:23:14","slug":"%e6%8a%bd%e5%87%ba-%e6%8a%bd%e5%87%ba%e6%bc%94%e7%bf%92-%e5%85%b1%e9%80%9a%e5%9b%a0%e6%95%b0%e3%81%ae%e8%a7%a3%e6%b1%ba%e4%be%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%8a%bd%e5%87%ba-%e6%8a%bd%e5%87%ba%e6%bc%94%e7%bf%92-%e5%85%b1%e9%80%9a%e5%9b%a0%e6%95%b0%e3%81%ae%e8%a7%a3%e6%b1%ba%e4%be%8b\/","title":{"rendered":"\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u307e\u305f\u306f\u524a\u9664\u3057\u307e\u3059"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u7d04\u6570\u306e\u53d6\u308a\u65b9\uff08\u62bd\u51fa\uff09\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u5171\u901a\u56e0\u6570\u304c\u898b\u3064\u304b\u308a\u3001\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u9054\u6210\u3055\u308c\u308b\u304b\u306e\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3067\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-factor-comun\"><\/span>\u5171\u901a\u56e0\u6570\u306f\u4f55\u3067\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u6570\u5b66\u3067\u306f\u3001<strong>\u5171\u901a\u56e0\u6570\u306f<\/strong>\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u306b\u5b58\u5728\u3059\u308b\u56e0\u6570\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5171\u901a\u56e0\u6570\u306f\u591a\u9805\u5f0f\u306e\u5404\u9805\u3092\u4e57\u7b97\u3059\u308b\u6570\u5024\u307e\u305f\u306f\u6587\u5b57\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u7279\u5b9a\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-55851b062b232cfea5dcd03351860f67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x+4y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> 4 \u756a\u76ee\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u3067\u7e70\u308a\u8fd4\u3055\u308c\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-85078c48d043da6cc82f7ccd94af281c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{red} \\bm{4} \\color{black} x + \\color{red} \\bm{4} \\color{black} y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"191\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 4 \u306b\u7b49\u3057\u304f\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-0f4364038f1bfdff454201e0a039ca86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\text{Factor com\\'un} = 4 {\\phantom{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"139\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-sacar-o-extraer-factor-comun\"><\/span>\u5171\u901a\u56e0\u6570\u3092\u53d6\u5f97 (\u307e\u305f\u306f\u62bd\u51fa) \u3059\u308b\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u901a\u56e0\u6570\u306e\u610f\u5473\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u591a\u9805\u5f0f\u306e 2 \u3064\u4ee5\u4e0a\u306e\u9805\u306b\u5171\u901a\u56e0\u6570\u304c\u3042\u308b\u5834\u5408\u3001<strong>\u305d\u306e\u5171\u901a\u56e0\u6570\u3092\u53d6\u5f97 (\u307e\u305f\u306f\u62bd\u51fa) \u3057\u3066\u3001\u591a\u9805\u5f0f\u306e\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3092\u4e57\u7b97\u306b\u5909\u63db\u3067\u304d\u307e\u3059<\/strong>\u3002<\/p>\n<p>\u3053\u308c\u3092\u66f8\u304f\u306e\u306f\u5c11\u3057\u96e3\u3057\u3044\u3088\u3046\u306b\u601d\u3048\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u306e\u3067\u3001\u4f8b\u3092\u4f7f\u3063\u3066\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\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\/extraire-ou-supprimer-le-facteur-commun-dun-polynome.png\" alt=\"\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u307e\u305f\u306f\u524a\u9664\u3059\u308b\" class=\"wp-image-1497\" width=\"155\" height=\"156\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u6570\u5024 5 \u306f\u5358\u9805\u5f0f 5x \u3068\u5358\u9805\u5f0f 5y \u3067\u7e70\u308a\u8fd4\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 5 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5171\u901a\u56e0\u6570\u3092\u7279\u5b9a\u3057\u305f\u3089\u3001\u5358\u9805\u5f0f\u306e\u5408\u8a08\u3092\u6b21\u306e\u3088\u3046\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002\u88fd\u54c1\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7\">\u5171\u901a\u56e0\u6570\u306f\u3059\u3079\u3066\u306e\u52a0\u6570\u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u3068\u304d\u306f\u62ec\u5f27\u3092\u5165\u308c\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u5171\u901a\u56e0\u6570\u306e\u9664\u53bb\u306f\u3001<strong>\u5206\u914d\u7279\u6027<\/strong>\u306e\u9006\u306e\u64cd\u4f5c\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5b9f\u969b\u306b\u306f\u5206\u914d\u7279\u6027\u3092\u9006\u306b\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u9006\u306e\u30d7\u30ed\u30bb\u30b9\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u3067\u3001\u5171\u901a\u56e0\u6570\u304c\u6b63\u3057\u304f\u62bd\u51fa\u3055\u308c\u305f\u3053\u3068\u3092\u5e38\u306b\u691c\u8a3c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5206\u914d\u7279\u6027\u3092\u9069\u7528\u3057\u3066\u6700\u521d\u304b\u3089\u540c\u3058\u591a\u9805\u5f0f\u304c\u5f97\u3089\u308c\u305f\u5834\u5408\u3001\u3053\u308c\u306f\u5171\u901a\u56e0\u6570\u304c\u6b63\u3057\u304f\u5f97\u3089\u308c\u305f\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/li>\n<li>\u4e00\u65b9\u3001\u5206\u914d\u6027\u8cea\u3092\u5229\u7528\u3057\u305f\u7d50\u679c\u304c\u5143\u306e\u591a\u9805\u5f0f\u3068\u306f\u7570\u306a\u308b\u591a\u9805\u5f0f\u306b\u306a\u3063\u305f\u5834\u5408\u3001\u305d\u308c\u306f\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u904e\u7a0b\u3067\u30df\u30b9\u304c\u3042\u3063\u305f\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/propriete-distributive-du-facteur-commun.jpg\" alt=\"\u5171\u901a\u56e0\u6570\u3068\u5206\u914d\u6027\" class=\"wp-image-1502\" width=\"317\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-sacar-o-extraer-factor-comun\"><\/span>\u5171\u901a\u56e0\u6570\u306e\u53d6\u5f97 (\u307e\u305f\u306f\u62bd\u51fa) \u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u901a\u56e0\u6570\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u3055\u3089\u306b\u591a\u304f\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b1<\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u5171\u901a\u56e0\u6570\u306f 3 \u3064\u4ee5\u4e0a\u306e\u9805\u304b\u3089\u540c\u6642\u306b\u62bd\u51fa\u3067\u304d\u307e\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\/calculateur-de-facteur-commun.jpg\" alt=\"\u5171\u901a\u56e0\u6570\u8a08\u7b97\u6a5f\" class=\"wp-image-1509\" width=\"231\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u4f8b 2<\/h3>\n<p>\u5909\u6570 (\u307e\u305f\u306f\u6587\u5b57) \u304b\u3089\u5171\u901a\u56e0\u5b50\u3092\u62bd\u51fa\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\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\/extrait-du-facteur-commun-dans-les-expressions-algebriques.jpg\" alt=\"\u4ee3\u6570\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\" class=\"wp-image-1512\" width=\"199\" height=\"145\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3053\u306e\u5834\u5408\u3001\u6587\u5b57 x \u306f\u591a\u9805\u5f0f\u306e 2 \u3064\u306e\u9805\u3092\u4e57\u7b97\u3059\u308b\u305f\u3081\u3001\u5909\u6570 x \u3092\u5171\u901a\u56e0\u6570\u3068\u3057\u3066\u53d6\u308b\u3053\u3068\u3067\u4ee3\u6570\u5f0f\u3092\u7c21\u7d20\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 3<\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u3001\u6700\u521d\u306e\u9805\u306b\u306f\u5909\u6570 x \u306e 3 \u4e57\u304c\u3042\u308a\u3001\u7b2c 2 \u9805\u3067\u306f x \u306e 2 \u4e57\u304c\u3042\u308b\u305f\u3081\u3001\u4e21\u65b9\u306e\u9805\u306b 2 \u3064\u306e x \u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5171\u901a\u56e0\u6570\u306f\u5358\u306a\u308b x \u3067\u306f\u306a\u304f\u3001 x <sup>2<\/sup>\u306b\u306a\u308a\u307e\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\/algebre-facteur-commun-de-x-au-carre.jpg\" alt=\"\u4ee3\u6570 x \u306e 2 \u4e57\u306e\u516c\u7d04\u6570\" class=\"wp-image-1515\" width=\"190\" height=\"143\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e00\u65b9\u3001<strong>\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u304c\u9805\u3068\u6b63\u78ba\u306b\u4e00\u81f4\u3059\u308b\u5834\u5408\u3001\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u3068\u304d\u306b\u3001\u305d\u306e\u5834\u6240\u306b 1 \u3092\u7f6e\u304f\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044<\/strong>\u3002\u305d\u3046\u3067\u306a\u3051\u308c\u3070\u3001\u305d\u306e\u5834\u6240\u306b\u4f55\u3082\u914d\u7f6e\u3057\u306a\u3051\u308c\u3070\u3001\u540c\u7b49\u306e\u5f0f\u306f\u5f97\u3089\u308c\u307e\u305b\u3093\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\/comment-extraire-ou-extraire-le-facteur-commun.jpg\" alt=\"\u5171\u901a\u56e0\u5b50\u3092\u62bd\u51fa\u307e\u305f\u306f\u898b\u3064\u3051\u308b\u65b9\u6cd5\" class=\"wp-image-1516\" width=\"284\" height=\"230\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u4f8b 4<\/h3>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5171\u901a\u56e0\u6570\u304c\u305d\u308c\u307b\u3069\u660e\u767d\u3067\u306f\u306a\u304f\u3001\u76f4\u63a5\u76ee\u306b\u898b\u3048\u306a\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u3080\u3057\u308d\u5358\u9805\u5f0f\u306e<strong>\u4fc2\u6570\u306e\u7d04\u6570<\/strong>\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u30016 \u3068 9 \u306e\u968e\u4e57\u5206\u89e3\u306b\u306f 3 \u304c\u542b\u307e\u308c\u308b\u305f\u3081\u3001\u6b21\u306e\u4f8b\u306e\u5171\u901a\u56e0\u6570\u306f 3 \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\/le-plus-grand-facteur-commun.jpg\" alt=\"\u6700\u5927\u516c\u7d04\u6570\" class=\"wp-image-1521\" width=\"235\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5171\u901a\u56e0\u6570\u306f\u3001\u4ee3\u6570\u5b66\u306e\u66f8\u7c4d\u306b\u3088\u3063\u3066\u306f<em>\u6700\u5927\u516c\u7d04\u6570 \u3068<\/em>\u547c\u3070\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5171\u901a\u56e0\u6570\u304c\u591a\u9805\u5f0f\u9805\u306e\u4fc2\u6570\u306e\u6700\u5927\u516c\u7d04\u6570 (GCD) \u3067\u3082\u3042\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u3053\u3053\u307e\u3067\u8aad\u3093\u3060\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u3059\u3067\u306b\u77e5\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u3001<span style=\"text-decoration: underline;\">\u305d\u306e\u5171\u901a\u56e0\u6570\u304c\u4f55\u306a\u306e\u304b\u7591\u554f\u306b\u601d\u3063\u305f\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u304b?<\/span>\u5171\u901a\u56e0\u6570\u306e\u5fdc\u7528\u4f8b\u306e 1 \u3064\u306f\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u3067\u3059\u3002\u307e\u3060\u305d\u308c\u304c\u4f55\u3067\u3042\u308b\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u3053\u306e\u30ea\u30f3\u30af\u3067\u3001<a href=\"https:\/\/mathority.org\/ja\"><strong><span style=\"text-decoration: underline;\">\u591a\u9805\u5f0f\u56e0\u6570\u5206\u89e3\u3068<\/span><\/strong><\/a>\u306f\u4f55\u306a\u306e\u304b\u3001\u305d\u3057\u3066\u3053\u306e\u591a\u9805\u5f0f\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u5171\u901a\u56e0\u6570\u304c\u306a\u305c\u975e\u5e38\u306b\u91cd\u8981\u3067\u3042\u308b\u306e\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factor-comun-en-fracciones\"><\/span>\u5206\u6570\u306e\u516c\u7d04\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u901a\u56e0\u6570\u306f\u3001\u5206\u5b50\u3068\u5206\u6bcd\u306b\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u9805\u3092\u5206\u6570\u306b\u5358\u7d14\u5316\u3059\u308b\u5834\u5408\u306b\u3082\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u4f8b\u3068\u3057\u3066\u6b21\u306e\u5206\u6570\u3092\u5358\u7d14\u5316\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-926e853d2437425b652f2c47844cf056_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^2+4}{14x+8y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"68\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u5206\u5b50\u591a\u9805\u5f0f\u3068\u5206\u6bcd\u591a\u9805\u5f0f\u306e\u516c\u7d04\u6570\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u30012 \u3064\u306e\u591a\u9805\u5f0f\u306e\u516c\u7d04\u6570\u306f 2 \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-8dc50e00c20a758293d8d2dc74fb8f7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\cdot x^2+\\color{red} \\bm{2} \\color{black}\\cdot 2 }{\\color{red} \\bm{2} \\color{black}\\cdot 7x+\\color{red} \\bm{2} \\color{black} \\cdot 4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u30012 \u3064\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3057\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-e66d7e737e76389a6294c4ececffbbd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\color{red} \\bm{2} \\color{black}\\left(x^2+2\\right)}{\\color{red} \\bm{2} \\color{black}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"151\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e21\u65b9\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001<strong>\u5206\u5b50\u3068\u5206\u6bcd\u3067\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u6570\u3092\u524a\u9664\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/strong>\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-5bcc4a8a84c802f1510baebfc8f4f126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cancel{2}\\left(x^2+2\\right)}{ \\cancel{2}\\left(7x+4y\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"85\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u7c21\u7565\u5316\u3055\u308c\u305f\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-f035f7e96fe7afd4c93cef5a93c249f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2+2}{7x+4y}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"59\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factor-comun-por-agrupacion\"><\/span>\u30b0\u30eb\u30fc\u30d7\u5206\u3051\u306b\u3088\u308b\u5171\u901a\u56e0\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u9805\u3092\u6e1b\u3089\u3059 1 \u3064\u306e\u65b9\u6cd5\u306f<strong>\u3001\u9805\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u308b\u5171\u901a\u56e0\u6570\u6cd5\u3092<\/strong>\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u306f\u4e8c\u91cd\u5171\u901a\u56e0\u6570\u62bd\u51fa\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u305d\u306e\u540d\u524d\u304c\u793a\u3059\u3088\u3046\u306b\u3001\u3053\u306e\u624b\u9806\u306f\u591a\u9805\u5f0f\u306e\u9805\u3092 2 \u56de\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u3053\u3068\u3067\u591a\u9805\u5f0f\u306e\u5f0f\u3092\u7c21\u7565\u5316\u3059\u308b\u3053\u3068\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u65b9\u6cd5\u306f\u5c11\u3057\u8907\u96d1\u306a\u306e\u3067\u3001\u6b21\u306e\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u6bb5\u968e\u7684\u306b\u3069\u306e\u3088\u3046\u306b\u9069\u7528\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-fb6a8ed826038a265d2b21c9d086a8ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+5x+10\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"139\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u8003\u3048\u3089\u308c\u308b 2 \u3064\u306e\u7570\u306a\u308b\u5171\u901a\u56e0\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u591a\u9805\u5f0f\u3092 2 \u3064\u306e\u90e8\u5206\u306b\u5206\u5272\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-d9dfcd08553e61ba0be3791c055bd0ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+2x)+(5x+10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"164\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u8981\u7d20 x <sup>2<\/sup>\u3068 2x \u306f\u5171\u901a\u56e0\u6570\u3068\u3057\u3066\u6587\u5b57 x \u3092\u6301\u3061\u3001\u9805 5x \u3068 10 \u306f\u5171\u901a\u56e0\u6570\u3068\u3057\u3066 5 \u3092\u6301\u3061\u307e\u3059 (10 \u306f 5 \u306e\u500d\u6570\u3067\u3042\u308b\u305f\u3081)\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e 2 \u3064\u306e\u8981\u7d20\u304c\u5171\u901a\u3057\u3066\u3044\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-96393c2563ce4dcedade0d979a6ce9c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x\\cdot x+2\\cdot x)+(5\\cdot x+5\\cdot 2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" 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-859b9fdc443c61344efe64ea1c561565_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x+2)+5(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u6b8b\u308a\u306e 2 \u3064\u306e\u591a\u9805\u5f0f\u7a4d\u306b\u306f\u56e0\u6570 (x+2) \u304c\u3042\u308b\u305f\u3081\u3001\u6b21\u306e\u3088\u3046\u306b\u591a\u9805\u5f0f\u3092\u5358\u7d14\u5316\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-730e68f7964706bfd88cdf23c0c7376f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u3053\u306e\u65b9\u6cd5\u306f\u6c7a\u3057\u3066\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u30b3\u30e1\u30f3\u30c8\u3067\u3054\u8cea\u554f\u304c\u3054\u3056\u3044\u307e\u3057\u305f\u3089\u3001\u304a\u6c17\u8efd\u306b\u304a\u554f\u3044\u5408\u308f\u305b\u304f\u3060\u3055\u3044\u3002\u3067\u304d\u308b\u3060\u3051\u65e9\u304f\u304a\u7b54\u3048\u3044\u305f\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-paso-a-paso-de-factor-comun\"><\/span>\u5171\u901a\u56e0\u6570\u6f14\u7fd2\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u7df4\u7fd2\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\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-d0ebbf8633cd83e917eef6b61be195f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6a+6b\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-8e6c228a58b589aea75d96ac06489ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3x^2+8x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"93\" 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-6b2f716764369b8748180f11c2088405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 2x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" 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-4fe0000a9ab02d158e8e5c238614f2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -5x^4+x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u6700\u521d\u306e\u591a\u9805\u5f0f\u3092\u69cb\u6210\u3059\u308b\u3059\u3079\u3066\u306e\u9805\u306b\u306f 6 \u304c\u542b\u307e\u308c\u308b\u305f\u3081\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 6 \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-dcfc02b18324ae47e4f6161c02ed10a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6a+6b = 6\\cdot a + 6 \\cdot b = \\bm{6\\cdot (a+b)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong> 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u3067\u306f\u3001\u305d\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u306b\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u6587\u5b57 x \u304c\u542b\u307e\u308c\u307e\u3059\u3002\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\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-d5397f749d2af52e3d25f47ac6763236_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2+8x = 3x \\cdot x+8\\cdot x= \\bm{x\\cdot (3x+8)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u591a\u9805\u5f0f\u306e\u6700\u521d\u306e\u5358\u9805\u5f0f\u306f\u660e\u3089\u304b\u306b 2 \u3067\u3042\u308a\u30012 \u756a\u76ee\u306e\u5358\u9805\u5f0f\u306f 2 \u306e\u500d\u6570\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 2 \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-403fd331c25d97df08b1a6e265b874f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x-4= 2\\cdot x - 2\\cdot 2 =\\bm{2\\cdot (x-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u6700\u5f8c\u306e\u591a\u9805\u5f0f\u3067\u306f\u3001\u3059\u3079\u3066\u306e\u5909\u6570\u304c\u5c11\u306a\u304f\u3068\u3082 2 \u4e57\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5171\u901a\u56e0\u6570\u306f x <sup>2<\/sup>\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-9f5b04e6c70d455f570dea79a1caf289_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5x^4+x^2= -5x^2\\cdot x^2 +1 \\cdot x^2 = \\bm{x^2\\cdot (-5x^2+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5171\u901a\u56e0\u6570\u304c\u9805\u3068\u540c\u3058\u3067\u3042\u308b\u5834\u5408\u306f\u3001\u305d\u306e\u4f4d\u7f6e\u306b 1 \u3092\u7f6e\u304f\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/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\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u8003\u3048\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-6e62899cc63709635736efb76c383ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 8x^2 + 10y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" 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-9c467706436dd57e76ccd016cd70110a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 5x^3-2x^2+4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"141\" 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-16d9856d9e0d050d484ce1def25a9757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 25x^5+15x^3-20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" 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-a03f69699de681226d47227124a68a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  9x^4-3x^3-21x^2-6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u6700\u521d\u306e\u591a\u9805\u5f0f\u3092\u69cb\u6210\u3059\u308b\u8981\u7d20\u306e\u4fc2\u6570\u306f\u3059\u3079\u3066 2 \u306e\u500d\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u3068\u3001\u591a\u9805\u5f0f\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-7862ee57cf098358e43d3b669e0cb54d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 8x^2 + 10y^3  = \\\\[2ex] = 2\\cdot 4x^2 +2\\cdot 5y^3 = \\\\[2ex] = \\bm{2\\left(4x^2+5y^3\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"154\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u306b\u304a\u3044\u3066\u3001\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e x \u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\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-39551a1ffc0b98f8b9c037fdcc793b01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}5x^3-2x^2+4x = \\\\[2ex] = 5x^2\\cdot x-2x\\cdot x+4\\cdot x= \\\\[2ex] =\\bm{x\\left(5x^2-2x+4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"203\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u306e\u4fc2\u6570\u306e\u6700\u5927\u516c\u7d04\u6570\u306f 5 \u3067\u3042\u308b\u305f\u3081\u3001\u4e0a\u8a18\u591a\u9805\u5f0f\u306e\u516c\u7d04\u6570\u306f 5 \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-fe8cc019c3511734ff278f68c44066df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}25x^5+15x^3-20 = \\\\[2ex] =5\\cdot 5x^5+5\\cdot 3x^3-5\\cdot 4 = \\\\[2ex] = \\bm{5\\left(5x^5+3x^3-4\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u306b\u306f\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e x \u304c\u3042\u308a\u3001\u3055\u3089\u306b\u3059\u3079\u3066\u306e\u4fc2\u6570\u306f 3 \u306e\u500d\u6570\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 3x \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-fb70701f39b1050eec730f1591671293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}9x^4-3x^3-21x^2-6x = \\\\[2ex] = 3x^3\\cdot 3x-x^2\\cdot 3x-7x\\cdot 3x-2\\cdot 3x= \\\\[2ex] = \\bm{3x\\left(3x^3-x^2-7x-2 \\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"301\" 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\u5404\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3092\u898b\u3064\u3051\u3066\u6e1b\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-1d40bfaef04f667f19afd89bed2c5c6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4a^2b^5+7a^4b^3-10a^6b^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" 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-be1557edebbdaa17ea43aa69cf14a8c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16x^4y^7z+8x^2y^2z^2+ 24x^3y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"243\" 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-d493a7783ca2a21e55e60bcf2af7748d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6ab^2c^4-6ab^2c+12a^3b^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-d2cc5c9bbb43ac4387ad806fefc4d643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>A)<\/strong>\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u306b\u306f\u5c11\u306a\u304f\u3068\u3082\u6b21\u306e\u6587\u5b57\u304c\u542b\u307e\u308c\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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u56db\u89d2\u3068\u6587\u5b57<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>3 \u4e57\u306a\u306e\u3067\u3001\u5171\u901a\u56e0\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-f369f018d950bc237c46322c9b05d60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2b^3:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" 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-b622844f35f4bd4411c545c352331943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 4a^2b^5+7a^4b^3-10a^6b^4 = \\\\[2ex] = 4b^2\\cdot a^2b^3+7a^2\\cdot a^2b^3-10a^4b\\cdot a^2b^3 = \\\\[2ex] = \\bm{a^2b^3\\left(4b^2+7a^2-10a^4b\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u306f\u3059\u3079\u3066 8 \u306e\u500d\u6570\u3067\u3042\u308a\u3001\u3055\u3089\u306b\u3001\u30ea\u30c6\u30e9\u30eb\u90e8\u5206\u3068\u3057\u3066\u5c11\u306a\u304f\u3068\u3082 x <sup>2<\/sup>\u3068 y <sup>2<\/sup>\u3092\u6301\u3061\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 8x <sup>2<\/sup> y <sup>2<\/sup>\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-2d7018f427d800f6db67335a4d4f238b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}16x^4y^7z+8x^2y^2z^2+ 24x^3y^5 = \\\\[2ex] = 2x^2y^5z \\cdot 8x^2y^2 +z^2\\cdot 8x^2y^2+ 3xy^3\\cdot 8x^2y^2= \\\\[2ex] =\\bm{8x^2y^2\\left(2x^2y^5z+z^2+3xy^3\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u3053\u306e\u5834\u5408\u3001\u5171\u901a\u56e0\u6570\u306f\u4e2d\u9593\u5358\u9805\u5f0f\u306e\u5024\u3068\u4e00\u81f4\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-57647d998c69941eadc01ee28cf3e5cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(6ab^2c\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -7px;\"><\/p>\n<p> \u3001\u4ed6\u306e\u5358\u9805\u5f0f\u306e\u4fc2\u6570\u306f\u6b21\u306e\u500d\u6570\u3067\u3042\u308b\u305f\u3081\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5c3e12330dabaeec7413281aba0f134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u3057\u3066\u7d76\u5bfe\u306b\u8ab0\u3082\u304c\u6301\u3063\u3066\u3044\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4302e041ad21bfe7a384223fd3d35f1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab^2c:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" 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-76f91563726822a51c7bfe88aa461e6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}6ab^2c^4-6ab^2c+12a^3b^2c = \\\\[2ex] =c^3\\cdot 6ab^2c -1\\cdot 6ab^2c+2a^2 \\cdot 6ab^2c = \\\\[2ex] = \\bm{6ab^2c\\left(c^3-1+2a^2\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>D)<\/strong>\u3053\u306e\u7279\u5b9a\u306e\u30b1\u30fc\u30b9\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u3067\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u6570\u304c\u306a\u3044\u305f\u3081\u3001\u591a\u9805\u5f0f\u306b\u306f\u5171\u901a\u56e0\u6570\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u3092\u4ee3\u6570\u7684\u306b\u7c21\u7565\u5316\u3059\u308b\u3053\u3068\u306f\u3067\u304d\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-3c58c3237bfa4a57d2e87d36b1eebab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"18x^2y+10xy-5xy^3+4z\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/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>\u5171\u901a\u56e0\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\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-73e11e8ebb8c064d2981506461d693c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{10x^2+30}{5x-20}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"103\" 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-401feeca45cc41913c5e9f64d2821535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\cfrac{16x^2-8}{24x-32}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"95\" 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-b4354346c86ff374869cc9a6029bbcdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\cfrac{49x^3+7x}{35x^2-14}\" 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-4221a799a5650e5afdab728cb2797be9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"161\" 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\u3001\u3064\u307e\u308a\u591a\u9805\u5f0f\u3092\u542b\u3080\u5206\u6570\u3092\u7c21\u7565\u5316\u3059\u308b\u624b\u9806\u306f\u3001\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u304b\u3089\u5171\u901a\u7d04\u6570\u3092\u62bd\u51fa\u3057\u3001\u4e0a\u4e0b\u306b\u7e70\u308a\u8fd4\u3055\u308c\u308b\u7d04\u6570\u3092\u524a\u9664\u3057\u307e\u3059\u3002\u5206\u6570\u306e\u4e0b\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-6ce28a7207aa3bccea5a8afae54c8ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\quad \\begin{array}{l} \\cfrac{10x^2+30}{5x-20}=  \\cfrac{5\\cdot 2x^2 +5\\cdot 6}{5\\cdot x-5\\cdot 4} = \\\\[4ex] = \\cfrac{5(2x^2+6)}{5(x-4)}= \\cfrac{\\cancel{5}(2x^2+6)}{\\cancel{5}(x-4)} = \\\\[4ex] = \\cfrac{\\bm{2x^2+6}}{\\bm{x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"276\" 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-a6024cf2af6c13d0d27f7e5d3e675362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\quad \\begin{array}{l} \\cfrac{16x^2-8}{24x-32} = \\cfrac{8 \\cdot 2x^2+8 \\cdot (-1)}{8 \\cdot 3x-8 \\cdot 4} =\\\\[4ex] = \\cfrac{8(2x^2-1)}{8(3x-4)}= \\cfrac{\\cancel{8}(2x^2-1)}{\\cancel{8}(3x-4)} =\\\\[4ex] = \\cfrac{\\bm{2x^2-1}}{\\bm{3x-4}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"292\" 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-5678b7c6d631a693a86fad40aa79d030_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\quad \\begin{array}{l}\\cfrac{49x^3+7x}{35x^2-14}=\\cfrac{7x\\cdot 7x^2+7x\\cdot 1}{7 \\cdot 5x^2+7\\cdot (-2)} =\\\\[4ex] = \\cfrac{7x(7x^2+1)}{7(5x^2-2)}= \\cfrac{\\cancel{7}x(7x^2+1)}{\\cancel{7}(5x^2-2)}=\\\\[4ex] = \\cfrac{\\bm{x(7x^2+1)}}{\\bm{5x^2-2}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"301\" 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-82199184b3594c18db6888c58fa0bdfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\quad \\begin{array}{l} \\cfrac{8x^4+16x^3-4x^2}{12x^2+20x}=\\cfrac{4x^2\\cdot 2x^2+4x^2\\cdot 4x+4x^2\\cdot (-1)}{4x\\cdot 3x+4x\\cdot 5}=\\\\[4ex] = \\cfrac{4x^2(2x^2+4x-1)}{4x(3x+5)}= \\cfrac{\\cancel{4}x^{\\cancel{2}}(2x^2+4x-1)}{\\cancel{4}\\cancel{x}(3x+5)}=\\\\[4ex] = \\cfrac{\\bm{x(2x^2+4x-1)}}{\\bm{3x+5}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"474\" 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 5<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\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-8e5c91e0867615671956c23daf199f56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" 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-861358103d4265a73b6bf2c12a5c315d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\sqrt{12x^3+16}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"115\" 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-592bb1e112ee966a6c8266f8453176d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^2+4x-3x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-6ea1c6302c0ee60f46718b42a2741bf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  \\cfrac{3}{4}x^2+ \\cfrac{1}{2}x-\\cfrac{5}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"130\" 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\"><strong>A)<\/strong>\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u306f 3 \u756a\u76ee\u307e\u3067\u968e\u4e57\u5206\u89e3\u3067\u304d\u308b\u305f\u3081\u3001\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-66174ecc5c7264ae95507f632d1f2630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} \\cfrac{7}{3}x^2+ \\cfrac{8}{3}x-\\cfrac{2}{3}= \\\\[3ex] = \\cfrac{1}{3}\\cdot 7x^2+ \\cfrac{1}{3}\\cdot 8x-\\cfrac{1}{3}\\cdot 2 = \\\\[3ex] = \\mathbf{\\cfrac{1}{3}}\\bm{\\left(7x^2+8x-2\\right)} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"156\" width=\"205\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>B)<\/strong>\u30eb\u30fc\u30c8\u5185\u306e\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306f 4 \u3067\u3059\u304c\u3001\u5e73\u65b9\u6839\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u5171\u901a\u56e0\u6570\u3092\u51fa\u529b\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-3a362644fe5b22fefc962f164db26f5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\sqrt{12x^3+16}= \\\\[2ex] =\\sqrt{4\\cdot 3x^3+4\\cdot 4}= \\\\[2ex]=\\sqrt{4\\left(3x^3+4\\right)}= \\\\[2ex] =\\bm{2\\sqrt{3x^3+4}}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"133\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>C)<\/strong>\u3053\u306e\u591a\u9805\u5f0f\u3067\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u306b\u3088\u3063\u3066\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u3092\u9069\u7528\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-fd43d5f40797c39b0401769ff392d9e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}x^2+4x-3x-12= \\\\[2ex] =x(x+4)-3(x+4) = \\\\[2ex] = \\bm{(x+4)(x-3)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>D)<\/strong>\u591a\u9805\u5f0f\u306e\u5c0f\u6570\u4fc2\u6570\u306f\u3059\u3079\u3066 2 \u306e\u500d\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u591a\u9805\u5f0f\u306e\u516c\u7d04\u6570\u306f 1\/2 \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-a35ab3db2e1f1197d6652e6d4d0a8a8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{3}{4}x^2+ \\frac{1}{2}x-\\frac{5}{6}= \\\\[4ex] \\displaystyle = \\frac{1}{2}\\cdot\\frac{3}{2}x^2+ \\frac{1}{2}\\cdot x-\\frac{1}{2}\\cdot\\frac{5}{3}= \\\\[4ex] \\displaystyle = \\mathbf{\\frac{1}{2}}\\bm{\\left(}\\mathbf{\\frac{3}{2}}\\bm{x^2+x-}\\mathbf{\\frac{5}{3}} \\bm{\\right)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"210\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \ud83d\udc47\ud83d\udc47\ud83d\udc47 \u3053\u306e\u8aac\u660e\u306b\u3064\u3044\u3066\u3069\u3046\u601d\u3044\u307e\u3057\u305f\u304b?\u6c17\u306b\u5165\u308a\u307e\u3057\u305f\u304b\uff1f\u307e\u305f\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u3001\u307e\u305f\u306f\u6f14\u7fd2\u304c\u7406\u89e3\u3067\u304d\u306a\u3044\u5834\u5408\u306f\u3001\u3044\u3064\u3067\u3082\u30b3\u30e1\u30f3\u30c8\u6b04\u3067\u8cea\u554f\u3057\u3066\u3044\u305f\u3060\u3051\u308c\u3070\u304a\u7b54\u3048\u3044\u305f\u3057\u307e\u3059\u3002 \ud83d\udc47\ud83d\udc47\ud83d\udc47<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" 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