{"id":218,"date":"2026-08-03T15:27:48","date_gmt":"2026-08-03T06:27:48","guid":{"rendered":"https:\/\/www.masmath.online\/?p=218"},"modified":"2026-08-03T15:27:49","modified_gmt":"2026-08-03T06:27:49","slug":"%e5%b1%95%e9%96%8b%e3%81%9d%e3%81%ae2","status":"publish","type":"post","link":"https:\/\/www.masmath.online\/?p=218","title":{"rendered":"\u5c55\u958b\u305d\u306e2"},"content":{"rendered":"\n<pre class=\"wp-block-preformatted\">## \u30bb\u30c3\u30c8A - \u554f\u984c\n\n\\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e\n\n\\( (1) \\)\u3000\\( (x+3)^2 \\)\n\\( (2) \\)\u3000\\( (x-5)^2 \\)\n\\( (3) \\)\u3000\\( (x+7)(x-7) \\)\n\\( (4) \\)\u3000\\( (x+2)(x+6) \\)\n\\( (5) \\)\u3000\\( (2x+3)(3x-1) \\)\n\\( (6) \\)\u3000\\( (x+y+1)^2 \\)\n\\( (7) \\)\u3000\\( (x+2)^3 \\)\n\\( (8) \\)\u3000\\( (x-3)^3 \\)\n\\( (9) \\)\u3000\\( (x+2)(x^2-2x+4) \\)\n\n## \u30bb\u30c3\u30c8A - \u89e3\u7b54\u30fb\u89e3\u8aac\n\n\\( (1) \\)\u3000\\( x^2+6x+9 \\)\n\u3000\u3000\\( (a+b)^2=a^2+2ab+b^2 \\) \u306b \\( a=x,\\ b=3 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (2) \\)\u3000\\( x^2-10x+25 \\)\n\u3000\u3000\\( (a-b)^2=a^2-2ab+b^2 \\) \u306b \\( a=x,\\ b=5 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (3) \\)\u3000\\( x^2-49 \\)\n\u3000\u3000\\( (a+b)(a-b)=a^2-b^2 \\) \u306b \\( a=x,\\ b=7 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (4) \\)\u3000\\( x^2+8x+12 \\)\n\u3000\u3000\u548c\u304c \\( 8 \\)\u3001\u7a4d\u304c \\( 12 \\) \u3068\u306a\u308b\u516c\u5f0f\u306e\u78ba\u8a8d\u3002\n\n\\( (5) \\)\u3000\\( 6x^2+7x-3 \\)\n\u3000\u3000\\( 2x\\cdot3x+2x\\cdot(-1)+3\\cdot3x+3\\cdot(-1)=6x^2-2x+9x-3 \\)\n\n\\( (6) \\)\u3000\\( x^2+y^2+1+2xy+2y+2x \\)\n\u3000\u3000\\( (a+b+c)^2 \\) \u306b \\( a=x,\\ b=y,\\ c=1 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (7) \\)\u3000\\( x^3+6x^2+12x+8 \\)\n\u3000\u3000\\( (a+b)^3 \\) \u306b \\( a=x,\\ b=2 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (8) \\)\u3000\\( x^3-9x^2+27x-27 \\)\n\u3000\u3000\\( (a-b)^3 \\) \u306b \\( a=x,\\ b=3 \\) \u3092\u4ee3\u5165\u3002\n\n\\( (9) \\)\u3000\\( x^3+8 \\)\n\u3000\u3000\\( (a+b)(a^2-ab+b^2)=a^3+b^3 \\) \u306b \\( a=x,\\ b=2 \\) \u3092\u4ee3\u5165\u3002\n\n---\n\n## \u30bb\u30c3\u30c8B - \u554f\u984c\n\n\\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e\n\n\\( (1) \\)\u3000\\( (x+4)^2 \\)\n\\( (2) \\)\u3000\\( (x-6)^2 \\)\n\\( (3) \\)\u3000\\( (x+9)(x-9) \\)\n\\( (4) \\)\u3000\\( (x+3)(x-5) \\)\n\\( (5) \\)\u3000\\( (3x+2)(2x-5) \\)\n\\( (6) \\)\u3000\\( (x+y+3)^2 \\)\n\\( (7) \\)\u3000\\( (x+3)^3 \\)\n\\( (8) \\)\u3000\\( (x-2)^3 \\)\n\\( (9) \\)\u3000\\( (x-3)(x^2+3x+9) \\)\n\n## \u30bb\u30c3\u30c8B - \u89e3\u7b54\u30fb\u89e3\u8aac\n\n\\( (1) \\)\u3000\\( x^2+8x+16 \\)\n\n\\( (2) \\)\u3000\\( x^2-12x+36 \\)\n\n\\( (3) \\)\u3000\\( x^2-81 \\)\n\n\\( (4) \\)\u3000\\( x^2-2x-15 \\)\n\u3000\u3000\u548c \\( -2 \\)\u3001\u7a4d \\( -15 \\)\u3002\n\n\\( (5) \\)\u3000\\( 6x^2-11x-10 \\)\n\u3000\u3000\\( 3x\\cdot2x+3x\\cdot(-5)+2\\cdot2x+2\\cdot(-5)=6x^2-15x+4x-10 \\)\n\n\\( (6) \\)\u3000\\( x^2+y^2+9+2xy+6y+6x \\)\n\n\\( (7) \\)\u3000\\( x^3+9x^2+27x+27 \\)\n\n\\( (8) \\)\u3000\\( x^3-6x^2+12x-8 \\)\n\n\\( (9) \\)\u3000\\( x^3-27 \\)\n\u3000\u3000\\( (a-b)(a^2+ab+b^2)=a^3-b^3 \\) \u306b \\( a=x,\\ b=3 \\)\u3002\n\n---\n\n## \u30bb\u30c3\u30c8C - \u554f\u984c\n\n\\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e\n\n\\( (1) \\)\u3000\\( (x+7)^2 \\)\n\\( (2) \\)\u3000\\( (x-2)^2 \\)\n\\( (3) \\)\u3000\\( (x+5)(x-5) \\)\n\\( (4) \\)\u3000\\( (x-3)(x-8) \\)\n\\( (5) \\)\u3000\\( (4x+1)(2x-3) \\)\n\\( (6) \\)\u3000\\( (a-b+3)^2 \\)\n\\( (7) \\)\u3000\\( (x+1)^3 \\)\n\\( (8) \\)\u3000\\( (2x-1)^3 \\)\n\\( (9) \\)\u3000\\( (x+4)(x^2-4x+16) \\)\n\n## \u30bb\u30c3\u30c8C - \u89e3\u7b54\u30fb\u89e3\u8aac\n\n\\( (1) \\)\u3000\\( x^2+14x+49 \\)\n\n\\( (2) \\)\u3000\\( x^2-4x+4 \\)\n\n\\( (3) \\)\u3000\\( x^2-25 \\)\n\n\\( (4) \\)\u3000\\( x^2-11x+24 \\)\n\u3000\u3000\u548c \\( -11 \\)\u3001\u7a4d \\( 24 \\)\u3002\n\n\\( (5) \\)\u3000\\( 8x^2-10x-3 \\)\n\u3000\u3000\\( 4x\\cdot2x+4x\\cdot(-3)+1\\cdot2x+1\\cdot(-3)=8x^2-12x+2x-3 \\)\n\n\\( (6) \\)\u3000\\( a^2+b^2+9-2ab+6a-6b \\)\n\u3000\u3000\\( p=a,\\ q=-b,\\ r=3 \\) \u3068\u3057\u3066 \\( (p+q+r)^2 \\) \u516c\u5f0f\u3092\u9069\u7528\u3002\n\n\\( (7) \\)\u3000\\( x^3+3x^2+3x+1 \\)\n\n\\( (8) \\)\u3000\\( 8x^3-12x^2+6x-1 \\)\n\u3000\u3000\\( a=2x,\\ b=1 \\) \u3068\u3057\u3066 \\( a^3-3a^2b+3ab^2-b^3 \\)\u3002\n\n\\( (9) \\)\u3000\\( x^3+64 \\)\n\u3000\u3000\\( a=x,\\ b=4 \\) \u306e \\( a^3+b^3 \\) \u516c\u5f0f\u3002\n\n---\n\n## \u30bb\u30c3\u30c8D - \u554f\u984c\n\n\\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e\n\n\\( (1) \\)\u3000\\( (x+9)^2 \\)\n\\( (2) \\)\u3000\\( (x-7)^2 \\)\n\\( (3) \\)\u3000\\( (2x+3)(2x-3) \\)\n\\( (4) \\)\u3000\\( (x-6)(x+2) \\)\n\\( (5) \\)\u3000\\( (5x-2)(x+3) \\)\n\\( (6) \\)\u3000\\( (x+2y-1)^2 \\)\n\\( (7) \\)\u3000\\( (2x+1)^3 \\)\n\\( (8) \\)\u3000\\( (x-5)^3 \\)\n\\( (9) \\)\u3000\\( (2x-1)(4x^2+2x+1) \\)\n\n## \u30bb\u30c3\u30c8D - \u89e3\u7b54\u30fb\u89e3\u8aac\n\n\\( (1) \\)\u3000\\( x^2+18x+81 \\)\n\n\\( (2) \\)\u3000\\( x^2-14x+49 \\)\n\n\\( (3) \\)\u3000\\( 4x^2-9 \\)\n\u3000\u3000\\( a=2x,\\ b=3 \\) \u306e \\( a^2-b^2 \\)\u3002\n\n\\( (4) \\)\u3000\\( x^2-4x-12 \\)\n\u3000\u3000\u548c \\( -4 \\)\u3001\u7a4d \\( -12 \\)\u3002\n\n\\( (5) \\)\u3000\\( 5x^2+13x-6 \\)\n\u3000\u3000\\( 5x\\cdot x+5x\\cdot3+(-2)\\cdot x+(-2)\\cdot3=5x^2+15x-2x-6 \\)\n\n\\( (6) \\)\u3000\\( x^2+4y^2+1+4xy-4y-2x \\)\n\u3000\u3000\\( p=x,\\ q=2y,\\ r=-1 \\) \u3068\u3057\u3066\u5c55\u958b\u3002\n\n\\( (7) \\)\u3000\\( 8x^3+12x^2+6x+1 \\)\n\u3000\u3000\\( a=2x,\\ b=1 \\) \u306e \\( (a+b)^3 \\)\u3002\n\n\\( (8) \\)\u3000\\( x^3-15x^2+75x-125 \\)\n\n\\( (9) \\)\u3000\\( 8x^3-1 \\)\n\u3000\u3000\\( a=2x,\\ b=1 \\) \u306e \\( a^3-b^3 \\) \u516c\u5f0f\u305d\u306e\u3082\u306e\u3002\n\n---\n\n## \u30bb\u30c3\u30c8E - \u554f\u984c\n\n\\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e\n\n\\( (1) \\)\u3000\\( (x+6)^2 \\)\n\\( (2) \\)\u3000\\( (x-9)^2 \\)\n\\( (3) \\)\u3000\\( (3x+4)(3x-4) \\)\n\\( (4) \\)\u3000\\( (x+4)(x-11) \\)\n\\( (5) \\)\u3000\\( (2x+5)(3x-4) \\)\n\\( (6) \\)\u3000\\( (2a-b+1)^2 \\)\n\\( (7) \\)\u3000\\( (x-4)^3 \\)\n\\( (8) \\)\u3000\\( (3x+1)^3 \\)\n\\( (9) \\)\u3000\\( (x^2+x+1)(x^2-x+1) \\)\n\n## \u30bb\u30c3\u30c8E - \u89e3\u7b54\u30fb\u89e3\u8aac\n\n\\( (1) \\)\u3000\\( x^2+12x+36 \\)\n\n\\( (2) \\)\u3000\\( x^2-18x+81 \\)\n\n\\( (3) \\)\u3000\\( 9x^2-16 \\)\n\u3000\u3000\\( a=3x,\\ b=4 \\) \u306e \\( a^2-b^2 \\)\u3002\n\n\\( (4) \\)\u3000\\( x^2-7x-44 \\)\n\u3000\u3000\u548c \\( -7 \\)\u3001\u7a4d \\( -44 \\)\u3002\n\n\\( (5) \\)\u3000\\( 6x^2+7x-20 \\)\n\u3000\u3000\\( 2x\\cdot3x+2x\\cdot(-4)+5\\cdot3x+5\\cdot(-4)=6x^2-8x+15x-20 \\)\n\n\\( (6) \\)\u3000\\( 4a^2+b^2+1-4ab+4a-2b \\)\n\u3000\u3000\\( p=2a,\\ q=-b,\\ r=1 \\) \u3068\u3057\u3066\u5c55\u958b\u3002\n\n\\( (7) \\)\u3000\\( x^3-12x^2+48x-64 \\)\n\n\\( (8) \\)\u3000\\( 27x^3+27x^2+9x+1 \\)\n\u3000\u3000\\( a=3x,\\ b=1 \\) \u306e \\( (a+b)^3 \\)\u3002\n\n\\( (9) \\)\u3000\\( x^4+x^2+1 \\)\n\u3000\u3000\\( (x^2+1+x)(x^2+1-x) \\) \u3068\u898b\u3066 \\( a=x^2+1,\\ b=x \\) \u306e \\( a^2-b^2 \\) \u3092\u9069\u7528\uff1a\n\u3000\u3000\\( (x^2+1)^2-x^2=x^4+2x^2+1-x^2=x^4+x^2+1 \\)<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>## \u30bb\u30c3\u30c8A &#8211; \u554f\u984c \\( 1. \\)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e \\( (1) \\)\u3000\\( (x+3)^2 \\) \\( (2) \\)\u3000\\( (x-5)^2 \\) \\( (3) \\)\u3000\\( (x+7)(x-7) \\) \\( <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jin_ogp_image_url":"","_jin_last_featured_id":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-218","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/posts\/218","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.masmath.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=218"}],"version-history":[{"count":1,"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/posts\/218\/revisions"}],"predecessor-version":[{"id":219,"href":"https:\/\/www.masmath.online\/index.php?rest_route=\/wp\/v2\/posts\/218\/revisions\/219"}],"wp:attachment":[{"href":"https:\/\/www.masmath.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.masmath.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.masmath.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}