{"id":214,"date":"2026-08-03T15:13:48","date_gmt":"2026-08-03T06:13:48","guid":{"rendered":"https:\/\/www.masmath.online\/?p=214"},"modified":"2026-08-03T15:15:40","modified_gmt":"2026-08-03T06:15:40","slug":"%e5%b1%95%e9%96%8b","status":"publish","type":"post","link":"https:\/\/www.masmath.online\/?p=214","title":{"rendered":"\u5c55\u958b"},"content":{"rendered":"\n

\u30bb\u30c3\u30c8A – \u554f\u984c<\/h2>\n\n\n\n

\u00a5( 1. \u00a5)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e<\/p>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( (x+3)^2 \u00a5)
\u00a5( (2) \u00a5)\u3000\u00a5( (x-5)^2 \u00a5)
\u00a5( (3) \u00a5)\u3000\u00a5( (x+7)(x-7) \u00a5)
\u00a5( (4) \u00a5)\u3000\u00a5( (x+2)(x+6) \u00a5)
\u00a5( (5) \u00a5)\u3000\u00a5( (2x+3)(3x-1) \u00a5)
\u00a5( (6) \u00a5)\u3000\u00a5( (x+y+1)^2 \u00a5)
\u00a5( (7) \u00a5)\u3000\u00a5( (x+2)^3 \u00a5)
\u00a5( (8) \u00a5)\u3000\u00a5( (x-3)^3 \u00a5)
\u00a5( (9) \u00a5)\u3000\u00a5( (x+2)(x^2-2x+4) \u00a5)<\/p>\n\n\n\n

\u30bb\u30c3\u30c8A – \u89e3\u7b54\u30fb\u89e3\u8aac<\/h2>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( x^2+6x+9 \u00a5)
\u3000\u3000\u00a5( (a+b)^2=a^2+2ab+b^2 \u00a5) \u306b \u00a5( a=x,\u00a5 b=3 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (2) \u00a5)\u3000\u00a5( x^2-10x+25 \u00a5)
\u3000\u3000\u00a5( (a-b)^2=a^2-2ab+b^2 \u00a5) \u306b \u00a5( a=x,\u00a5 b=5 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (3) \u00a5)\u3000\u00a5( x^2-49 \u00a5)
\u3000\u3000\u00a5( (a+b)(a-b)=a^2-b^2 \u00a5) \u306b \u00a5( a=x,\u00a5 b=7 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (4) \u00a5)\u3000\u00a5( x^2+8x+12 \u00a5)
\u3000\u3000\u548c\u304c \u00a5( 8 \u00a5)\u3001\u7a4d\u304c \u00a5( 12 \u00a5) \u3068\u306a\u308b\u516c\u5f0f\u306e\u78ba\u8a8d\u3002<\/p>\n\n\n\n

\u00a5( (5) \u00a5)\u3000\u00a5( 6x^2+7x-3 \u00a5)
\u3000\u3000\u00a5( 2x\u00a5cdot3x+2x\u00a5cdot(-1)+3\u00a5cdot3x+3\u00a5cdot(-1)=6x^2-2x+9x-3 \u00a5)<\/p>\n\n\n\n

\u00a5( (6) \u00a5)\u3000\u00a5( x^2+y^2+1+2xy+2y+2x \u00a5)
\u3000\u3000\u00a5( (a+b+c)^2 \u00a5) \u306b \u00a5( a=x,\u00a5 b=y,\u00a5 c=1 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (7) \u00a5)\u3000\u00a5( x^3+6x^2+12x+8 \u00a5)
\u3000\u3000\u00a5( (a+b)^3 \u00a5) \u306b \u00a5( a=x,\u00a5 b=2 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (8) \u00a5)\u3000\u00a5( x^3-9x^2+27x-27 \u00a5)
\u3000\u3000\u00a5( (a-b)^3 \u00a5) \u306b \u00a5( a=x,\u00a5 b=3 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\u00a5( (9) \u00a5)\u3000\u00a5( x^3+8 \u00a5)
\u3000\u3000\u00a5( (a+b)(a^2-ab+b^2)=a^3+b^3 \u00a5) \u306b \u00a5( a=x,\u00a5 b=2 \u00a5) \u3092\u4ee3\u5165\u3002<\/p>\n\n\n\n

\n\n\n\n

\u30bb\u30c3\u30c8B – \u554f\u984c<\/h2>\n\n\n\n

\u00a5( 1. \u00a5)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e<\/p>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( (x+4)^2 \u00a5)
\u00a5( (2) \u00a5)\u3000\u00a5( (x-6)^2 \u00a5)
\u00a5( (3) \u00a5)\u3000\u00a5( (x+9)(x-9) \u00a5)
\u00a5( (4) \u00a5)\u3000\u00a5( (x+3)(x-5) \u00a5)
\u00a5( (5) \u00a5)\u3000\u00a5( (3x+2)(2x-5) \u00a5)
\u00a5( (6) \u00a5)\u3000\u00a5( (x+y+3)^2 \u00a5)
\u00a5( (7) \u00a5)\u3000\u00a5( (x+3)^3 \u00a5)
\u00a5( (8) \u00a5)\u3000\u00a5( (x-2)^3 \u00a5)
\u00a5( (9) \u00a5)\u3000\u00a5( (x-3)(x^2+3x+9) \u00a5)<\/p>\n\n\n\n

\u30bb\u30c3\u30c8B – \u89e3\u7b54\u30fb\u89e3\u8aac<\/h2>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( x^2+8x+16 \u00a5)<\/p>\n\n\n\n

\u00a5( (2) \u00a5)\u3000\u00a5( x^2-12x+36 \u00a5)<\/p>\n\n\n\n

\u00a5( (3) \u00a5)\u3000\u00a5( x^2-81 \u00a5)<\/p>\n\n\n\n

\u00a5( (4) \u00a5)\u3000\u00a5( x^2-2x-15 \u00a5)
\u3000\u3000\u548c \u00a5( -2 \u00a5)\u3001\u7a4d \u00a5( -15 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (5) \u00a5)\u3000\u00a5( 6x^2-11x-10 \u00a5)
\u3000\u3000\u00a5( 3x\u00a5cdot2x+3x\u00a5cdot(-5)+2\u00a5cdot2x+2\u00a5cdot(-5)=6x^2-15x+4x-10 \u00a5)<\/p>\n\n\n\n

\u00a5( (6) \u00a5)\u3000\u00a5( x^2+y^2+9+2xy+6y+6x \u00a5)<\/p>\n\n\n\n

\u00a5( (7) \u00a5)\u3000\u00a5( x^3+9x^2+27x+27 \u00a5)<\/p>\n\n\n\n

\u00a5( (8) \u00a5)\u3000\u00a5( x^3-6x^2+12x-8 \u00a5)<\/p>\n\n\n\n

\u00a5( (9) \u00a5)\u3000\u00a5( x^3-27 \u00a5)
\u3000\u3000\u00a5( (a-b)(a^2+ab+b^2)=a^3-b^3 \u00a5) \u306b \u00a5( a=x,\u00a5 b=3 \u00a5)\u3002<\/p>\n\n\n\n

\n\n\n\n

\u30bb\u30c3\u30c8C – \u554f\u984c<\/h2>\n\n\n\n

\u00a5( 1. \u00a5)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e<\/p>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( (x+7)^2 \u00a5)
\u00a5( (2) \u00a5)\u3000\u00a5( (x-2)^2 \u00a5)
\u00a5( (3) \u00a5)\u3000\u00a5( (x+5)(x-5) \u00a5)
\u00a5( (4) \u00a5)\u3000\u00a5( (x-3)(x-8) \u00a5)
\u00a5( (5) \u00a5)\u3000\u00a5( (4x+1)(2x-3) \u00a5)
\u00a5( (6) \u00a5)\u3000\u00a5( (a-b+3)^2 \u00a5)
\u00a5( (7) \u00a5)\u3000\u00a5( (x+1)^3 \u00a5)
\u00a5( (8) \u00a5)\u3000\u00a5( (2x-1)^3 \u00a5)
\u00a5( (9) \u00a5)\u3000\u00a5( (x+4)(x^2-4x+16) \u00a5)<\/p>\n\n\n\n

\u30bb\u30c3\u30c8C – \u89e3\u7b54\u30fb\u89e3\u8aac<\/h2>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( x^2+14x+49 \u00a5)<\/p>\n\n\n\n

\u00a5( (2) \u00a5)\u3000\u00a5( x^2-4x+4 \u00a5)<\/p>\n\n\n\n

\u00a5( (3) \u00a5)\u3000\u00a5( x^2-25 \u00a5)<\/p>\n\n\n\n

\u00a5( (4) \u00a5)\u3000\u00a5( x^2-11x+24 \u00a5)
\u3000\u3000\u548c \u00a5( -11 \u00a5)\u3001\u7a4d \u00a5( 24 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (5) \u00a5)\u3000\u00a5( 8x^2-10x-3 \u00a5)
\u3000\u3000\u00a5( 4x\u00a5cdot2x+4x\u00a5cdot(-3)+1\u00a5cdot2x+1\u00a5cdot(-3)=8x^2-12x+2x-3 \u00a5)<\/p>\n\n\n\n

\u00a5( (6) \u00a5)\u3000\u00a5( a^2+b^2+9-2ab+6a-6b \u00a5)
\u3000\u3000\u00a5( p=a,\u00a5 q=-b,\u00a5 r=3 \u00a5) \u3068\u3057\u3066 \u00a5( (p+q+r)^2 \u00a5) \u516c\u5f0f\u3092\u9069\u7528\u3002<\/p>\n\n\n\n

\u00a5( (7) \u00a5)\u3000\u00a5( x^3+3x^2+3x+1 \u00a5)<\/p>\n\n\n\n

\u00a5( (8) \u00a5)\u3000\u00a5( 8x^3-12x^2+6x-1 \u00a5)
\u3000\u3000\u00a5( a=2x,\u00a5 b=1 \u00a5) \u3068\u3057\u3066 \u00a5( a^3-3a^2b+3ab^2-b^3 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (9) \u00a5)\u3000\u00a5( x^3+64 \u00a5)
\u3000\u3000\u00a5( a=x,\u00a5 b=4 \u00a5) \u306e \u00a5( a^3+b^3 \u00a5) \u516c\u5f0f\u3002<\/p>\n\n\n\n

\n\n\n\n

\u30bb\u30c3\u30c8D – \u554f\u984c<\/h2>\n\n\n\n

\u00a5( 1. \u00a5)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e<\/p>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( (x+9)^2 \u00a5)
\u00a5( (2) \u00a5)\u3000\u00a5( (x-7)^2 \u00a5)
\u00a5( (3) \u00a5)\u3000\u00a5( (2x+3)(2x-3) \u00a5)
\u00a5( (4) \u00a5)\u3000\u00a5( (x-6)(x+2) \u00a5)
\u00a5( (5) \u00a5)\u3000\u00a5( (5x-2)(x+3) \u00a5)
\u00a5( (6) \u00a5)\u3000\u00a5( (x+2y-1)^2 \u00a5)
\u00a5( (7) \u00a5)\u3000\u00a5( (2x+1)^3 \u00a5)
\u00a5( (8) \u00a5)\u3000\u00a5( (x-5)^3 \u00a5)
\u00a5( (9) \u00a5)\u3000\u00a5( (2x-1)(4x^2+2x+1) \u00a5)<\/p>\n\n\n\n

\u30bb\u30c3\u30c8D – \u89e3\u7b54\u30fb\u89e3\u8aac<\/h2>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( x^2+18x+81 \u00a5)<\/p>\n\n\n\n

\u00a5( (2) \u00a5)\u3000\u00a5( x^2-14x+49 \u00a5)<\/p>\n\n\n\n

\u00a5( (3) \u00a5)\u3000\u00a5( 4x^2-9 \u00a5)
\u3000\u3000\u00a5( a=2x,\u00a5 b=3 \u00a5) \u306e \u00a5( a^2-b^2 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (4) \u00a5)\u3000\u00a5( x^2-4x-12 \u00a5)
\u3000\u3000\u548c \u00a5( -4 \u00a5)\u3001\u7a4d \u00a5( -12 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (5) \u00a5)\u3000\u00a5( 5x^2+13x-6 \u00a5)
\u3000\u3000\u00a5( 5x\u00a5cdot x+5x\u00a5cdot3+(-2)\u00a5cdot x+(-2)\u00a5cdot3=5x^2+15x-2x-6 \u00a5)<\/p>\n\n\n\n

\u00a5( (6) \u00a5)\u3000\u00a5( x^2+4y^2+1+4xy-4y-2x \u00a5)
\u3000\u3000\u00a5( p=x,\u00a5 q=2y,\u00a5 r=-1 \u00a5) \u3068\u3057\u3066\u5c55\u958b\u3002<\/p>\n\n\n\n

\u00a5( (7) \u00a5)\u3000\u00a5( 8x^3+12x^2+6x+1 \u00a5)
\u3000\u3000\u00a5( a=2x,\u00a5 b=1 \u00a5) \u306e \u00a5( (a+b)^3 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (8) \u00a5)\u3000\u00a5( x^3-15x^2+75x-125 \u00a5)<\/p>\n\n\n\n

\u00a5( (9) \u00a5)\u3000\u00a5( 8x^3-1 \u00a5)
\u3000\u3000\u00a5( a=2x,\u00a5 b=1 \u00a5) \u306e \u00a5( a^3-b^3 \u00a5) \u516c\u5f0f\u305d\u306e\u3082\u306e\u3002<\/p>\n\n\n\n

\n\n\n\n

\u30bb\u30c3\u30c8E – \u554f\u984c<\/h2>\n\n\n\n

\u00a5( 1. \u00a5)\u3000\u6b21\u306e\u5f0f\u3092\u5c55\u958b\u305b\u3088\uff0e<\/p>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( (x+6)^2 \u00a5)
\u00a5( (2) \u00a5)\u3000\u00a5( (x-9)^2 \u00a5)
\u00a5( (3) \u00a5)\u3000\u00a5( (3x+4)(3x-4) \u00a5)
\u00a5( (4) \u00a5)\u3000\u00a5( (x+4)(x-11) \u00a5)
\u00a5( (5) \u00a5)\u3000\u00a5( (2x+5)(3x-4) \u00a5)
\u00a5( (6) \u00a5)\u3000\u00a5( (2a-b+1)^2 \u00a5)
\u00a5( (7) \u00a5)\u3000\u00a5( (x-4)^3 \u00a5)
\u00a5( (8) \u00a5)\u3000\u00a5( (3x+1)^3 \u00a5)
\u00a5( (9) \u00a5)\u3000\u00a5( (x^2+x+1)(x^2-x+1) \u00a5)<\/p>\n\n\n\n

\u30bb\u30c3\u30c8E – \u89e3\u7b54\u30fb\u89e3\u8aac<\/h2>\n\n\n\n

\u00a5( (1) \u00a5)\u3000\u00a5( x^2+12x+36 \u00a5)<\/p>\n\n\n\n

\u00a5( (2) \u00a5)\u3000\u00a5( x^2-18x+81 \u00a5)<\/p>\n\n\n\n

\u00a5( (3) \u00a5)\u3000\u00a5( 9x^2-16 \u00a5)
\u3000\u3000\u00a5( a=3x,\u00a5 b=4 \u00a5) \u306e \u00a5( a^2-b^2 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (4) \u00a5)\u3000\u00a5( x^2-7x-44 \u00a5)
\u3000\u3000\u548c \u00a5( -7 \u00a5)\u3001\u7a4d \u00a5( -44 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (5) \u00a5)\u3000\u00a5( 6x^2+7x-20 \u00a5)
\u3000\u3000\u00a5( 2x\u00a5cdot3x+2x\u00a5cdot(-4)+5\u00a5cdot3x+5\u00a5cdot(-4)=6x^2-8x+15x-20 \u00a5)<\/p>\n\n\n\n

\u00a5( (6) \u00a5)\u3000\u00a5( 4a^2+b^2+1-4ab+4a-2b \u00a5)
\u3000\u3000\u00a5( p=2a,\u00a5 q=-b,\u00a5 r=1 \u00a5) \u3068\u3057\u3066\u5c55\u958b\u3002<\/p>\n\n\n\n

\u00a5( (7) \u00a5)\u3000\u00a5( x^3-12x^2+48x-64 \u00a5)<\/p>\n\n\n\n

\u00a5( (8) \u00a5)\u3000\u00a5( 27x^3+27x^2+9x+1 \u00a5)
\u3000\u3000\u00a5( a=3x,\u00a5 b=1 \u00a5) \u306e \u00a5( (a+b)^3 \u00a5)\u3002<\/p>\n\n\n\n

\u00a5( (9) \u00a5)\u3000\u00a5( x^4+x^2+1 \u00a5)
\u3000\u3000\u00a5( (x^2+1+x)(x^2+1-x) \u00a5) \u3068\u898b\u3066 \u00a5( a=x^2+1,\u00a5 b=x \u00a5) \u306e \u00a5( a^2-b^2 \u00a5) \u3092\u9069\u7528\uff1a
\u3000\u3000\u00a5( (x^2+1)^2-x^2=x^4+2x^2+1-x^2=x^4+x^2+1 \u00a5)<\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

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