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计算:[(x²-2x+1)/(x²-1)]÷[(x-1)(x²+x)]-x

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计算:[(x²-2x+1)/(x²-1)]÷[(x-1)(x²+x)]-x
要有过程解答.
计算:[(x²-2x+1)/(x²-1)]÷[(x-1)(x²+x)]-x
[(x²-2x+1)/(x²-1)]÷[(x-1)(x²+x)]-x
=(x-1)^2 / [(x+1)(x-1)] ÷ [x(x-1)(x+1] - x
=(x-1)^2 ÷ x - x
=(x-1)^2 / x - x
={(x-1)^2-x^2} / x
=(1-2x) / x
或写作:
1/x -2