[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
题目
[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
答案
[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
=[(x+2)(x-2)/(x-2)^2-(1)/(x-2)]*x(x-2)/(x+1)
=[(x+2)/(x-2)-1/(x-2)]*x(x-2)/(x+1)
=(x+2-1)/(x-2)*x(x-2)/(x+1)
=(x+1)/(x-2)*x(x-2)/(x+1)
=x
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