[x-x/(x+1)]*[(x+1)/(x^2+3x+2)]÷[(x^2-2x)/(x^2-4)]
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[x-x/(x+1)]*[(x+1)/(x^2+3x+2)]÷[(x^2-2x)/(x^2-4)]
一楼的纯粹是瞎扯
一楼的纯粹是瞎扯
![[x-x/(x+1)]*[(x+1)/(x^2+3x+2)]÷[(x^2-2x)/(x^2-4)]](/uploads/image/z/15741097-25-7.jpg?t=%5Bx-x%2F%28x%2B1%29%5D%2A%5B%28x%2B1%29%2F%28x%5E2%2B3x%2B2%29%5D%C3%B7%5B%28x%5E2-2x%29%2F%28x%5E2-4%29%5D)
[x-x/(x+1)]*[(x+1)/(x^2+3x+2)]÷[(x^2-2x)/(x^2-4)]
=x²/(x+1)×(x+1)/(x+1)(x+2)×(x²-4)/(x²-2x²)
=x²/(x+1)×(x+1)/(x+1)(x+2)×(x-2)(x+2)/x(x-2)
=x/(x+1)
=x²/(x+1)×(x+1)/(x+1)(x+2)×(x²-4)/(x²-2x²)
=x²/(x+1)×(x+1)/(x+1)(x+2)×(x-2)(x+2)/x(x-2)
=x/(x+1)
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