{"id":1944,"date":"2020-11-14T16:50:45","date_gmt":"2020-11-14T07:50:45","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=1944"},"modified":"2022-07-20T18:45:14","modified_gmt":"2022-07-20T09:45:14","slug":"factorization","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/factorization.html","title":{"rendered":"\u4e57\u6cd5\u516c\u5f0f\u306b\u3088\u308b\u5f0f\u306e\u5c55\u958b\u3068\u56e0\u6570\u5206\u89e3\uff1a\u4e2d\u5b66\u6570\u5b66\u306e\u591a\u9805\u5f0f\u8a08\u7b97"},"content":{"rendered":"\n<p>\u4e2d\u5b66\u6570\u5b66\u3067\u306f\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u3092\u7528\u3044\u305f\u6587\u5b57\u5f0f\u3092\u5b66\u3073\u307e\u3059\u3002\u8a18\u53f7\u540c\u58eb\u306e\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3001\u639b\u3051\u7b97\u3001\u5272\u308a\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3068\u304d\u6570\u5b66\u306e\u8a08\u7b97\u3067\u306f\u3001\u304b\u3063\u3053\u3092\u7528\u3044\u305f\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u983b\u7e41\u306b\u3042\u308a\u307e\u3059\u3002\u639b\u3051\u7b97\u306e\u4e2d\u3067\u3082\u3001\u304b\u3063\u3053\u540c\u58eb\u306e\u639b\u3051\u7b97\u3067\u306f\u4e57\u6cd5\u516c\u5f0f\u3068\u547c\u3070\u308c\u308b\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u4e57\u6cd5\u516c\u5f0f\u3092\u5b66\u3079\u3070\u3001\u56e0\u6570\u5206\u89e3\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f\u3092\u300c\u304b\u3063\u3053\u3092\u5229\u7528\u3057\u305f\u639b\u3051\u7b97\u306e\u5f0f\u300d\u306b\u76f4\u3059\u306e\u304c\u56e0\u6570\u5206\u89e3\u3067\u3059\u3002\u591a\u9805\u5f0f\u306e\u8a08\u7b97\u3067\u306f\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u4f7f\u3046\u5f0f\u306e\u5c55\u958b\u306b\u6bd4\u3079\u3066\u3001\u56e0\u6570\u5206\u89e3\u306e\u307b\u3046\u304c\u96e3\u3057\u3044\u305f\u3081\u3001\u3069\u3046\u8a08\u7b97\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u4e57\u6cd5\u516c\u5f0f\u3068\u56e0\u6570\u5206\u89e3\u3092\u4e00\u7dd2\u306b\u5b66\u3076\u3068\u3001\u6570\u5b66\u3092\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/span>\u3069\u306e\u3088\u3046\u306b\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3001\u56e0\u6570\u5206\u89e3\u306e\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u304b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5206\u914d\u6cd5\u5247\u3067\u591a\u9805\u5f0f\u540c\u58eb\u306e\u639b\u3051\u7b97\u3092\u8a3c\u660e\u3059\u308b<\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u8a08\u7b97\u3067\u306f\u3001\u5f0f\u306e\u5c55\u958b\u3092\u3055\u305b\u308b\u554f\u984c\u304c\u975e\u5e38\u306b\u305f\u304f\u3055\u3093\u51fa\u3055\u308c\u307e\u3059\u3002\u304b\u3063\u3053\u3092\u5916\u3057\u3001\u5358\u9805\u5f0f\u306e\u8db3\u3057\u7b97\u3068\u5f15\u304d\u7b97\u306e\u5f0f\u306b\u3059\u308b\u3053\u3068\u3092\u300c\u5c55\u958b\u3059\u308b\u300d\u3068\u3044\u3044\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u304b\u3063\u3053\u540c\u58eb\u306e\u8a08\u7b97\u3067\u306f\u3088\u308a\u5f0f\u306e\u5c55\u958b\u304c\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((a+b)(c+d)\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u3001\\((a+b)\\)\u3068\\((c+d)\\)\u306e\u639b\u3051\u7b97\u3092\u3057\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u591a\u9805\u5f0f\u306e\u8a08\u7b97\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u591a\u9805\u5f0f\u540c\u58eb\u306e\u639b\u3051\u7b97\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u306e\u5c55\u958b\u3092\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2272\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/wth3.jpg\" alt=\"\" width=\"600\" height=\"157\" \/><\/p>\n<p>\u306a\u305c\u3001\u3053\u306e\u3088\u3046\u306b\u5f0f\u306e\u5c55\u958b\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u6570\u5b66\u3067\u306f\u3001\u7406\u7531\u3092\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u516c\u5f0f\u304c\u6210\u7acb\u3059\u308b\u8a3c\u660e\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u6587\u5b57\u5f0f\uff08\u4ee3\u6570\u5f0f\uff09\u3092\u7fd2\u3063\u3066\u3044\u308b\u3053\u3068\u304b\u3089\u5206\u304b\u308b\u901a\u308a\u3001\u6570\u5b57\u306f\u6587\u5b57\u306b\u7f6e\u304d\u304b\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\\((c+d)\\)\u3092\\(N\\)\u306b\u7f6e\u304d\u304b\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\\((a+b)(c+d)\\)\u306f\\((a+b)N\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5206\u914d\u6cd5\u5247\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((a+b)N=aN+bN\\)<\/li>\n<\/ul>\n<p>\\(N\\)\u306f\\((c+d)\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(N=(c+d)\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a08\u7b97\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(aN+bN\\)<\/p>\n<p>\\(=a(c+d)+b(c+d)\\)<\/p>\n<p>\\(=ac+ad+bc+bd\\)<\/p>\n<p>\u3053\u3053\u304b\u3089\u3001<span style=\"color: #ff0000;\">\\((a+b)(c+d)=ac+ad+bc+bd\\)\u304c\u6210\u308a\u7acb\u3064\u3068\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/span>\u591a\u9805\u5f0f\u540c\u58eb\u306e\u8a08\u7b97\u3067\u306f\u3001\u3053\u306e\u5f0f\u3092\u5229\u7528\u3057\u3066\u5f0f\u306e\u5c55\u958b\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u3001\u6570\u5b66\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u306b\u4e0a\u8a18\u306e\u516c\u5f0f\u306e\u8a3c\u660e\u3092\u6bce\u56de\u3059\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u516c\u5f0f\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u7406\u89e3\u3057\u3066\u3001\u8a08\u7b97\u65b9\u6cd5\u3092\u899a\u3048\u307e\u3057\u3087\u3046\u3002\u3069\u306e\u3088\u3046\u306b\u5f0f\u306e\u5c55\u958b\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u3001\u3084\u308a\u65b9\u3092\u899a\u3048\u308b\u306e\u3067\u3059\u3002<\/p>\n<h3>4\u3064\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u4f7f\u3063\u305f\u5f0f\u306e\u5c55\u958b<\/h3>\n<p>\u306a\u304a\u3001\u5148\u307b\u3069\u8aac\u660e\u3057\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001<span style=\"color: #ff0000;\">\u4e57\u6cd5\u516c\u5f0f<\/span>\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u4e57\u6cd5\u516c\u5f0f\u3068\u306f\u3001\u5f0f\u306e\u5c55\u958b\u3084\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3068\u304d\u306b\u5229\u7528\u3059\u308b\u516c\u5f0f\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n<p>\u4e57\u6cd5\u516c\u5f0f\u306f\u4e3b\u306b4\u3064\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+a)(x+b)=x^2+(a+b)x+ab\\)<\/li>\n<li>\\((x+a)^2=x^2+2ax+a^2\\)<\/li>\n<li>\\((x-a)^2=x^2-2ax+a^2\\)<\/li>\n<li>\\((x+a)(x-a)=x^2-a^2\\)<\/li>\n<\/ul>\n<p>\u3053\u306e4\u3064\u306e\u4e57\u6cd5\u516c\u5f0f\u306f\u3059\u3079\u3066\u899a\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3057\u306a\u3051\u308c\u3070\u3001\u52b9\u7387\u7684\u306b\u591a\u9805\u5f0f\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u305c\u3001\u3053\u306e\u516c\u5f0f\u304c\u6210\u7acb\u3059\u308b\u306e\u304b\u8a3c\u660e\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u524d\u306b\u8aac\u660e\u3057\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u4e57\u6cd5\u516c\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u3092\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u4e57\u6cd5\u516c\u5f0f\uff1a\u305d\u306e1<\/strong><\/p>\n<p>\\((x+a)(x+b)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2174\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rhyj2.jpg\" alt=\"\" width=\"600\" height=\"259\" \/><\/p>\n<p>\u5f0f\u3092\u5c55\u958b\u3059\u308b\u3053\u3068\u3067\u3001\\((x+a)(x+b)=x^2+(a+b)x+ab\\)\u3068\u306a\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u6570\u5b66\u3067\u6700\u3082\u983b\u7e41\u306b\u5229\u7528\u3059\u308b\u4e57\u6cd5\u516c\u5f0f\u3067\u3042\u308a\u3001\u5fc5\u305a\u899a\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\\((x+1)(x+3)\\)\u306e\u554f\u984c\u3092\u89e3\u304f\u5834\u5408\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5c55\u958b\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\((x+1)(x+3)\\)<\/p>\n<p>\\(=x^2+(1+3)x+1\u00d73\\)<\/p>\n<p>\\(=x^2+4x+3\\)<\/p>\n<p><strong>\u30fb\u4e57\u6cd5\u516c\u5f0f\uff1a\u305d\u306e2<\/strong><\/p>\n<p>\u540c\u3058\u3088\u3046\u306b\u3001\u591a\u9805\u5f0f\u306e\u5c55\u958b\u3092\u3059\u308b\u3053\u3068\u3067\u4e57\u6cd5\u516c\u5f0f\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\\((x+a)^2\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2177\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rhyj4.jpg\" alt=\"\" width=\"600\" height=\"464\" \/><\/p>\n<p>\u524d\u306e\u4e57\u6cd5\u516c\u5f0f\u3067\u306f\u3001\\(a\\)\u3068\\(b\\)\u306e\u6570\u5b57\u304c\u9055\u3063\u3066\u3044\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u3053\u306e\u4e57\u6cd5\u516c\u5f0f\u3067\u306f\u3001\\((x+a)\\)\u306e\u4e8c\u4e57\u3092\u8a08\u7b97\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7b54\u3048\u306f\\((a+b)x\\)\u3067\u306f\u306a\u304f\\(2ax\\)\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(ab\\)\u3067\u306f\u306a\u304f\u3001\\(a^2\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u4e57\u6cd5\u516c\u5f0f\uff1a\u305d\u306e3<\/strong><\/p>\n<p>\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\\((x-a)^2\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2181\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rhyj6-1.jpg\" alt=\"\" width=\"600\" height=\"370\" \/><\/p>\n<p>\\((x+a)^2\\)\u306b\u5bfe\u3057\u3066\u3001\\((x-a)^2\\)\u3067\u306f\u7b26\u5408\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(2ax\\)\u3067\u306f\u306a\u304f\\(-2ax\\)\u3068\u306a\u308a\u307e\u3059\u3002\u30d7\u30e9\u30b9\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u3063\u305f\u3060\u3051\u3067\u3059\u304c\u3001\u4e57\u6cd5\u516c\u5f0f\u3067\u306f\u91cd\u8981\u3067\u3059\u3002\u306a\u304a\u3001\\(a^2\\)\u3068\u306a\u308b\u306e\u306f\\((x+a)^2\\)\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<p><strong>\u30fb\u4e57\u6cd5\u516c\u5f0f\uff1a\u305d\u306e4<\/strong><\/p>\n<p>\\((x+a)(x-a)\\)\u306e\u4e57\u6cd5\u516c\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2273\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/wth4.jpg\" alt=\"\" width=\"600\" height=\"176\" \/><\/p>\n<p>\\(-ax+ax=0\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\((x+a)(x-a)\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\\(x^2-a^2\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ed6\u306e\u4e57\u6cd5\u516c\u5f0f\u306b\u6bd4\u3079\u308b\u3068\u3001\\((x+a)(x-a)=x^2-a^2\\)\u3092\u5229\u7528\u3059\u308b\u30b1\u30fc\u30b9\u306f\u5c11\u306a\u3044\u3067\u3059\u3002\u305f\u3060\u3001\u4e57\u6cd5\u516c\u5f0f\u3068\u3057\u3066\u5fc5\u305a\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<h3>\u4e57\u6cd5\u516c\u5f0f\u3092\u5fd8\u308c\u3066\u3082\u8a08\u7b97\u306f\u53ef\u80fd<\/h3>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u30014\u3064\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5fd8\u308c\u3066\u3057\u307e\u3046\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3067\u3042\u3063\u3066\u3082\u554f\u984c\u306f\u3042\u308a\u307e\u305b\u3093\u3002\\((a+b)(c+d)=ac+ad+bc+bd\\)\u306e\u8a08\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\\((x-3)^2\\)\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u5148\u306b\u8ff0\u3079\u305f\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\\(x^2-6x+9\\)\u306e\u7b54\u3048\u3092\u3059\u3050\u306b\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3060<span style=\"color: #0000ff;\">\u4e57\u6cd5\u516c\u5f0f\u3092\u5fd8\u308c\u305f\u3068\u3057\u3066\u3082\u3001\u305d\u308c\u305e\u308c\u306e\u639b\u3051\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u5f0f\u3092\u5c55\u958b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((x-3)^2\\)<\/p>\n<p>\\(=(x-3)(x-3)\\)<\/p>\n<p>\\(=x^2-3x-3x+9\\)<\/p>\n<p>\\(=x^2-6x+9\\)<\/p>\n<p>\u4e57\u6cd5\u516c\u5f0f\u3092\u899a\u3048\u3066\u3044\u308c\u3070\u3001\u3053\u3046\u3057\u305f\u8a08\u7b97\u3092\u7701\u3044\u3066\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u5fd8\u308c\u3066\u3057\u307e\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u56e0\u6570\u5206\u89e3\uff1a\u304b\u3063\u3053\u306e\u5f0f\u3092\u4f5c\u308b<\/h2>\n<p>\u6570\u5b66\u3067\u5f0f\u306e\u5c55\u958b\u306b\u3064\u3044\u3066\u5b66\u3093\u3060\u3042\u3068\u3001\u6b21\u306b\u52c9\u5f37\u3059\u308b\u306e\u304c\u56e0\u6570\u5206\u89e3\u3067\u3059\u3002\u304b\u3063\u3053\u3092\u5916\u3059\u306e\u304c\u5f0f\u306e\u5c55\u958b\u3067\u3059\u3002\u4e00\u65b9\u3067\u56e0\u6570\u5206\u89e3\u3068\u306f\u4f55\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u56e0\u6570\u5206\u89e3\u3068\u306f\u3001\u5f0f\u306e\u5c55\u958b\u306e\u9006\u3060\u3068\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u3064\u307e\u308a\u3001\u304b\u3063\u3053\u306e\u306a\u3044\u5f0f\u304b\u3089\u304b\u3063\u3053\u306e\u3042\u308b\u5f0f\u3092\u4f5c\u308a\u307e\u3059\u3002<\/p>\n<p>\u7a4d\u3092\u4f5c\u3063\u3066\u3044\u308b\u4e00\u3064\u306e\u5f0f\u3092\u56e0\u6570\u3068\u3044\u3044\u307e\u3059\u3002\u8db3\u3057\u7b97\u3068\u5f15\u304d\u7b97\u306b\u3088\u3063\u3066\u6210\u308a\u7acb\u3063\u3066\u3044\u308b\u5f0f\u306b\u3064\u3044\u3066\u3001\u56e0\u6570\u540c\u58eb\u306e\u639b\u3051\u7b97\u3068\u306a\u308b\u3088\u3046\u306b\u5206\u89e3\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u56e0\u6570\u5206\u89e3\u3067\u306f\u3001\u5171\u901a\u3059\u308b\u56e0\u6570\uff08\u5171\u901a\u56e0\u6570\uff09\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2186\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/regh1.jpg\" alt=\"\" width=\"600\" height=\"190\" \/><\/p>\n<p>\u5f0f\u306e\u5c55\u958b\u306b\u6bd4\u3079\u308b\u3068\u3001\u56e0\u6570\u5206\u89e3\u306e\u307b\u3046\u304c\u96e3\u3057\u3044\u3067\u3059\u3002\u5f0f\u306e\u5c55\u958b\u3067\u306f\u3001\u3069\u306e\u6570\u5b57\u306e\u639b\u3051\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u660e\u78ba\u306b\u5206\u304b\u3063\u3066\u3044\u307e\u3059\u3002\u4e00\u65b9\u3067\u56e0\u6570\u5206\u89e3\u3067\u306f\u3001\u5171\u901a\u56e0\u6570\u3092\u63a2\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5171\u901a\u56e0\u6570\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u4f55\u304c\u5171\u901a\u56e0\u6570\u306b\u306a\u308b\u306e\u304b\u8003\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<h3>\u56e0\u6570\u5206\u89e3\u306f\u8907\u6570\u306e\u9078\u629e\u80a2\u304c\u3042\u308b<\/h3>\n<p>\u307e\u305f\u56e0\u6570\u5206\u89e3\u306e\u5834\u5408\u3001\u591a\u304f\u306f\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u305f\u554f\u984c\u304c\u51fa\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u4e57\u6cd5\u516c\u5f0f\u3092\u899a\u3048\u3066\u3044\u306a\u3051\u308c\u3070\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u5f0f\u306e\u5c55\u958b\u3067\u306f\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5fd8\u308c\u3066\u3057\u307e\u3063\u305f\u3068\u3057\u3066\u3082\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3001<span style=\"color: #0000ff;\">\u56e0\u6570\u5206\u89e3\u3067\u306f\u4e57\u6cd5\u516c\u5f0f\u3092\u899a\u3048\u3066\u304a\u304f\u306e\u304c\u5fc5\u9808\u3067\u3059\u3002<\/span><\/p>\n<p>\u306a\u304a\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u56e0\u6570\u5206\u89e3\u3067\u306f\u3001\u8907\u6570\u306e\u9078\u629e\u80a2\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u306e\u4e2d\u304b\u3089\u3001\u6700\u9069\u306a\u7b54\u3048\u3092\u51fa\u3055\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(x^2+4x+3\\)<\/li>\n<\/ul>\n<p>\u5148\u307b\u3069\u8aac\u660e\u3057\u305f\u901a\u308a\u3001\u4e57\u6cd5\u516c\u5f0f\u306f4\u3064\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u30014\u3064\u306e\u9078\u629e\u80a2\u306e\u4e2d\u304b\u3089\u6700\u9069\u306a\u4e57\u6cd5\u516c\u5f0f\u3092\u9078\u3070\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u306a\u304a\u4e57\u6cd5\u516c\u5f0f\u306e\u4e2d\u3067\u306f\u3001\u56e0\u6570\u5206\u89e3\u3067\u6700\u3082\u983b\u7e41\u306b\u5229\u7528\u3055\u308c\u308b\u306e\u304c\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\((x+a)(x+b)=x^2+(a+b)x+ab\\)<\/li>\n<\/ul>\n<p>\\(x^2+4x+3\\)\u3068\\(x^2+(a+b)x+ab\\)\u3092\u6bd4\u3079\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<ul>\n<li>\\(a+b=4\\)<\/li>\n<li>\\(ab=3\\)<\/li>\n<\/ul>\n<p>\u3053\u306e2\u3064\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u56e0\u6570\u3092\u898b\u3064\u3051\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u3053\u306e\u3068\u304d\u56e0\u6570\u5206\u89e3\u306e\u3084\u308a\u65b9\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u308c\u306f\u3001<span style=\"color: #ff0000;\">\u639b\u3051\u7b97\u306b\u7740\u76ee\u3059\u308b<\/span>\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u8db3\u3057\u7b97\u3068\u5f15\u304d\u7b97\u306f\u7121\u9650\u306b\u7b54\u3048\u304c\u5b58\u5728\u3059\u308b<\/strong><\/p>\n<p>\\(a+b=4\\)\u3068\u306a\u308b\u3088\u3046\u306b\\(a\\)\u3068\\(b\\)\u3092\u5f53\u3066\u306f\u3081\u308b\u5834\u5408\u3001\u7121\u9650\u306b\u7b54\u3048\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(2+2=4\\)<\/li>\n<li>\\(10-6=4\\)<\/li>\n<li>\\(-100+104=4\\)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\u3001\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3068\u304d\\(a+b\\)\u306b\u6700\u521d\u306b\u7740\u76ee\u3059\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3046\u3067\u306f\u306a\u304f\u3001\u639b\u3051\u7b97\u3067\u3042\u308b\\(ab\\)\u306b\u7740\u76ee\u3057\u307e\u3059\u3002\\(ab=3\\)\u3068\u306a\u308b\u6574\u6570\u306f\u4ee5\u4e0b\u306e2\u3064\u3060\u3051\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(1\u00d73=3\\)<\/li>\n<li>\\(-1\u00d7(-3)=3\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u3001<span style=\"color: #0000ff;\">\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u304d\u7b54\u3048\u306e\u5019\u88dc\u304c2\u3064\u3042\u308a\u307e\u3059\u3002<\/span>\u3053\u306e\u3046\u3061\u3001\u3069\u3061\u3089\u304c\u6b63\u89e3\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u305d\u3053\u3067\u6b21\u306b\u3001\\(a+b=4\\)\u306b\u5f53\u3066\u306f\u307e\u308b\u6570\u5b57\u3092\u63a2\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a=1,b=3\\)\u306a\u3089\u3070\u3001\\(1+3=4\\)<\/li>\n<li>\\(a=-1,b=-3\\)\u306a\u3089\u3070\u3001\\(-1+(-3)=-4\\)<\/li>\n<\/ul>\n<p>\\(a=1,b=3\\)\u3067\u3042\u308c\u3070\u3001\\(a+b=4\\)\u304b\u3064\\(ab=3\\)\u306e\u4e21\u65b9\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2187\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/regh2.jpg\" alt=\"\" width=\"600\" height=\"132\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u56e0\u6570\u5206\u89e3\u3067\u306f\u8907\u6570\u306e\u5019\u88dc\u304b\u3089\u6b63\u3057\u3044\u7b54\u3048\u3092\u5c0e\u304d\u51fa\u3055\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u4eca\u56de\u306f\u7c21\u5358\u306a\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u4f8b\u3068\u3057\u3066\u4f7f\u3044\u307e\u3057\u305f\u3002\u305f\u3060\u3001\u5f0f\u304c\u8907\u96d1\u306b\u306a\u308b\u5834\u5408\u306f\u3088\u308a\u56e0\u6570\u5206\u89e3\u304c\u96e3\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>4\u30d1\u30bf\u30fc\u30f3\u306e\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b<\/h3>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\u4e57\u6cd5\u516c\u5f0f\u306b\u306f4\u3064\u306e\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e2d\u5b66\u6570\u5b66\u306e\u56e0\u6570\u5206\u89e3\u3067\u306f\u30014\u3064\u3042\u308b\u4e57\u6cd5\u516c\u5f0f\u306e\u4e2d\u3067\u3069\u308c\u3092\u5229\u7528\u3059\u308b\u306e\u304b\u9078\u629e\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u56e0\u6570\u5206\u89e3\u306f\u4ed6\u306b\u516c\u5f0f\u304c\u3042\u308b\u3082\u306e\u306e\u3001\u305d\u308c\u3089\u306f\u9ad8\u6821\u306a\u3069\u3088\u308a\u96e3\u6613\u5ea6\u306e\u9ad8\u3044\u6570\u5b66\u3092\u5b66\u3076\u3068\u304d\u306b\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u56e0\u6570\u5206\u89e3\u3067\u5229\u7528\u3059\u308b\u4e57\u6cd5\u516c\u5f0f\u306e\u898b\u5206\u3051\u65b9\u3068\u3057\u3066\u306f\u3001\u7d2f\u4e57\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/span>4\u3064\u3042\u308b\u4e57\u6cd5\u516c\u5f0f\u306e\u3046\u3061\u3001\u4ee5\u4e0b\u306e3\u3064\u306e\u516c\u5f0f\u306b\u306f\u7d2f\u4e57\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+a)^2=x^2+2ax+\\color{red}{a^2}\\)<\/li>\n<li>\\((x-a)^2=x^2-2ax+\\color{red}{a^2}\\)<\/li>\n<li>\\((x+a)(x-a)=x^2-\\color{red}{a^2}\\)<\/li>\n<\/ul>\n<p>\u7d2f\u4e57\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u3053\u308c\u3089\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u591a\u9805\u5f0f\u306f\u3069\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(x^2+6x+9\\)<\/li>\n<li>\\(x^2-6x+9\\)<\/li>\n<\/ul>\n<p>\\(3^2=9\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u308c\u3089\u306e\u591a\u9805\u5f0f\u306b\u306f\u7d2f\u4e57\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u3068\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u30013\u30922\u500d\u3059\u308b\u30686\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2188\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/regh3.jpg\" alt=\"\" width=\"525\" height=\"494\" \/><\/p>\n<p>\u7d2f\u4e57\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3055\u3089\u306b\u6570\u30922\u500d\u3059\u308b\u3053\u3068\u3067\\(2ax\\)\uff08\u307e\u305f\u306f\\(-2ax\\))\u3068\u306a\u308b\u5834\u5408\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u305f\u56e0\u6570\u5206\u89e3\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u4ee5\u4e0b\u306e\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(x^2-25\\)<\/li>\n<\/ul>\n<p>\\(5^2=25\\)\u3067\u3042\u308a\u3001\u3053\u306e\u5f0f\u306b\u306f\u7d2f\u4e57\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u30de\u30a4\u30ca\u30b9\u306e\u7b26\u5408\u304c\u3042\u308a\u3001\\(2ax\\)\u307e\u305f\u306f\\((a+b)x\\)\u306e\u90e8\u5206\u304c\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u3053\u306e\u6761\u4ef6\u306b\u5f53\u3066\u306f\u307e\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u56e0\u6570\u5206\u89e3\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2190\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/regh5.jpg\" alt=\"\" width=\"575\" height=\"135\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3092\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u7d2f\u4e57\u3067\u304d\u306a\u3044\u5834\u5408\u306e\u56e0\u6570\u5206\u89e3<\/strong><\/p>\n<p>\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\u5f0f\u306e\u4e2d\u306b\u7d2f\u4e57\u3092\u542b\u307e\u306a\u3044\u306a\u3069\u3001\u5148\u307b\u3069\u8aac\u660e\u3057\u305f3\u3064\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3067\u304d\u306a\u3044\u30b1\u30fc\u30b9\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3092\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+a)(x+b)=x^2+(a+b)x+ab\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5\u306f\u65e2\u306b\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u56e0\u6570\u5206\u89e3\u3067\u306f\u3053\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u6700\u3082\u983b\u7e41\u306b\u5229\u7528\u3057\u307e\u3059\u3002\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u3001\u56e0\u6570\u5206\u89e3\u3067\u306f\u8907\u6570\u306e\u9078\u629e\u80a2\u306e\u4e2d\u304b\u3089\u7b54\u3048\u3092\u51fa\u305b\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u7df4\u7fd2\u554f\u984c\uff1a\u4e57\u6cd5\u516c\u5f0f\u3068\u56e0\u6570\u5206\u89e3\u306e\u8a08\u7b97<\/h2>\n<p><strong>Q1.<\/strong>\u00a0\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u3057\u307e\u3057\u3087\u3046<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li class=\"odd\">\\((x-3)(x+5)\\)<\/li>\n<li class=\"even\">\\((x+4)^2-(2x+3)(x-6)\\)<\/li>\n<\/ol>\n<p><strong>A1.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u5f0f\u306e\u5c55\u958b\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>(a)<\/strong><\/p>\n<p>\\((x-3)(x+5)=x^2+2x-15\\)<\/p>\n<p><strong>(b)<\/strong><\/p>\n<p>\\((x+4)^2-(2x+3)(x-6)\\)<\/p>\n<p>\\(=x^2+8x+16-(2x^2-12x+3x-18)\\)<\/p>\n<p>\\(=x^2+8x+16-2x^2+12x-3x+18\\)<\/p>\n<p>\\(=-x^2+17x+34\\)<\/p>\n<hr \/>\n<p><strong>Q2.<\/strong>\u00a0\u6b21\u306e\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u3057\u307e\u3057\u3087\u3046<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\\(x^2-6x-16\\)<\/li>\n<li>\\(x^2y-49y\\)<\/li>\n<li>\\((2x+3)(2x-3)-5x(x-2)\\)<\/li>\n<\/ol>\n<p><strong>A2.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u5f0f\u306e\u5c55\u958b\u3092\u3057\u305f\u3042\u3068\u306b\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>(a)<\/strong><\/p>\n<p>\u56e0\u6570\u5206\u89e3\u3067\u306f\u3001\u6700\u521d\u306b\u639b\u3051\u7b97\u306b\u7740\u76ee\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x^2-6x\\color{red}{-16}\\)\u306e-16\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u639b\u3051\u7b97\u3067-16\u306b\u306a\u308b\u6570\u5b57\u3068\u3057\u3066\u306f\u3001\u4ee5\u4e0b\u306e\u5019\u88dc\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(1\u00d7(-16)=-16\\)<\/li>\n<li>\\(-1\u00d716=-16\\)<\/li>\n<li>\\(2\u00d7(-8)=-16\\)<\/li>\n<li>\\(-2\u00d78=-16\\)<\/li>\n<li>\\(4\u00d7(-4)=-16\\)<\/li>\n<\/ul>\n<p>\u3053\u308c\u3089\u306e\u5019\u88dc\u306e\u4e2d\u3067\u3001\\(a+b=-6\\)\u306b\u306a\u308b\u6570\u5b57\u306f\u3069\u308c\u3067\u3057\u3087\u3046\u304b\u3002\\(a=2,b=-8\\)\u306e\u3068\u304d\u3001\\(a+b=-6\\)\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2-6x-16=(x+2)(x-8)\\)<\/li>\n<\/ul>\n<p><strong>(b)<\/strong><\/p>\n<p>\u56e0\u6570\u5206\u89e3\u3067\u306f\u3001\u5fc5\u305a\u3057\u3082\u6700\u521d\u306b\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u5171\u901a\u56e0\u6570\u3092\u307e\u3068\u3081\u305f\u3042\u3068\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\\(x^2\\color{red}{y}-49\\color{red}{y}\\)\u3067\u306f\u3001\\(y\\)\u304c\u5171\u901a\u56e0\u6570\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u6700\u521d\u306e\u56e0\u6570\u5206\u89e3\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2y-49y=y(x^2-49)\\)<\/li>\n<\/ul>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001\\((x^2-49)\\)\u304c\u3055\u3089\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3053\u3068\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y(x^2-49)=y(x+7)(x-7)\\)<\/li>\n<\/ul>\n<p><strong>(c)<\/strong><\/p>\n<p>\u5f0f\u306e\u5c55\u958b\u3092\u3057\u305f\u5f8c\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u306b\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\color{red}{(2x+3)(2x-3)}-5x(x-2)\\)<\/p>\n<p>\\(=\\color{red}{4x^2-9}-5x^2+10x\\)<\/p>\n<p>\\(=-x^2+10x-9\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u5f0f\u306e\u5c55\u958b\u3092\u3057\u305f\u5f8c\u3001\u56e0\u6570\u5206\u89e3\u3092\u3057\u307e\u3059\u3002\u3053\u306e\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(-x^2+10x-9\\)<\/p>\n<p>\\(=-(x^2-10x+9)\\)<\/p>\n<p>\\(=-(x-1)(x-9)\\)<\/p>\n<hr \/>\n<p><strong>Q3.<\/strong> \u6b21\u306e\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u3057\u307e\u3057\u3087\u3046<\/p>\n<ul>\n<li>\\((x+2)(x-2)+y(2x+y)\\)<\/li>\n<\/ul>\n<p><strong>A3.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u6700\u521d\u306b\u5f0f\u306e\u5c55\u958b\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((x+2)(x-2)+y(2x+y)\\)<\/p>\n<p>\\(=x^2-4+2xy+y^2\\)<\/p>\n<p>\\(=x^2+2xy+y^2-4\\)<\/p>\n<p>\u3053\u306e\u5f8c\u3001\u3069\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u5f0f\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b2\u3064\u306b\u5206\u3051\u3066\u8003\u3048\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\color{red}{x^2+2xy+y^2}-4\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3068\u304d\\(x^2+2xy+y^2\\)\u306b\u7740\u76ee\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\color{red}{x^2+2xy+y^2}-4\\)<\/p>\n<p>\\(=(x+y)^2-4\\)<\/p>\n<p>\u3057\u304b\u3057\u3001\u307e\u3060\u639b\u3051\u7b97\u3060\u3051\u306e\u5f0f\u306b\u306a\u3063\u3066\u3044\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u3055\u3089\u306b\u56e0\u6570\u5206\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\\(4=2^2\\)\u3068\u6c17\u3065\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u307e\u305f\\((x+y)\\)\u3067\u306f\u5206\u304b\u308a\u306b\u304f\u3044\u305f\u3081\u3001\\((x+y)=N\\)\u306b\u7f6e\u304d\u304b\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span>\u305d\u3046\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\color{red}{(x+y)}^2-4=\\color{red}{N}^2-2^2\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306b\u5f0f\u3092\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u3067\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3053\u3068\u306b\u6c17\u304c\u4ed8\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(N^2&#8211;2^2=(N+2)(N-2)\\)<\/li>\n<\/ul>\n<p>\u305f\u3060\u3001\\(N=x+y\\)\u3067\u3059\u3002\u305d\u3053\u3067\\(N=x+y\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u304c\u5b8c\u4e86\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((N+2)(N-2)=(x+y+2)(x+y-2)\\)<\/li>\n<\/ul>\n<h2>\u4e57\u6cd5\u516c\u5f0f\u3068\u56e0\u6570\u5206\u89e3\u3092\u5229\u7528\u3057\u3001\u591a\u9805\u5f0f\u306e\u554f\u984c\u3092\u89e3\u304f<\/h2>\n<p>\u6570\u5b66\u3067\u4e57\u6cd5\u516c\u5f0f\u3068\u56e0\u6570\u5206\u89e3\u306f\u3001\u30bb\u30c3\u30c8\u3067\u7406\u89e3\u3059\u308b\u3079\u304d\u5185\u5bb9\u3067\u3059\u3002\u305d\u3053\u3067\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u305f\u5f0f\u306e\u5c55\u958b\u306f\u5f53\u7136\u3068\u3057\u3066\u3001\u56e0\u6570\u5206\u89e3\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4e57\u6cd5\u516c\u5f0f\u306f\u5fc5\u305a\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u30674\u3064\u306e\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u5f0f\u306e\u5c55\u958b\u3067\u306f\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u899a\u3048\u306a\u304f\u3066\u3082\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3067<span 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