(x²-2x)分之(x+2)-(x²-4x+4)分之(x-1) 计算

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(x²-2x)分之(x+2)-(x²-4x+4)分之(x-1) 计算

(x²-2x)分之(x+2)-(x²-4x+4)分之(x-1) 计算
(x²-2x)分之(x+2)-(x²-4x+4)分之(x-1) 计算

(x²-2x)分之(x+2)-(x²-4x+4)分之(x-1) 计算
(x+2)/(x²-2x)-(x-1)/(x²-4x+4)
=(x+2)/[x(x-2)]-(x-1)/(x-2)²
=[(x+2)(x-2)-x(x-1)]/[x(x-2)²]
=[x²-4-x²+x]/[x(x-2)²]
=(-4+x)/[x(x-2)²]

错了

(x+2)/(x²-2x)-(x-1)/(x²-4x+4)
=(x+2)/[x(x-2)]-(x-1)/(x-2)²
=(x+2)(x-2)/[x(x-2)²]-x(x-1)/[x(x-2)²]
=[(x+2)(x-2)-x(x-1)]/[x(x-2)²]
=(x²-4-x²+x)/[x(x-2)²]
=(x-4)/[x(x-2)²]