计算{(x²-4x+4)/(x²-4)+(x)/(x+2)}除以(x-1)/(x+2)

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计算{(x²-4x+4)/(x²-4)+(x)/(x+2)}除以(x-1)/(x+2)
计算{(x²-4x+4)/(x²-4)+(x)/(x+2)}除以(x-1)/(x+2)

计算{(x²-4x+4)/(x²-4)+(x)/(x+2)}除以(x-1)/(x+2)
原式=[(x-2)²/(x+2)(x-2) +x/(x+2)]×(x+2)/(x-1)
=[(x-2)/(x+2)+x/(x+2)]×(x+2)/(x-1)
=(x-2+x)/(x+2) ×(x+2)/(x-1)
=(2x-2)/(x-1)
=2