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[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
[x-x/(x+1)]*[(x+1)/(x^2+3x+2)]÷[(x^2-2x)/(x^2-4)]
[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)