作业帮计算：[（x²-2x+1）/（x²-1）]÷[（x-1）(x²+x)]-x要有过程解答.
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/16 20:41:30
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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
要有过程解答.
计算：[（x²-2x+1）/（x²-1）]÷[（x-1）(x²+x)]-x要有过程解答.
[（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
[（x²-2x+1）/（x²-1）]÷[（x-1）(x²+x)]-x
=[（x-1）²/（x²-1）]÷[X（x-1）(x+1)]-x
=[（x-1）／(x+1)×／1[X（x-1）(x+1)]-X
=1／X(x+1)-X
=（-X³-X²+1）／X(x+1)