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：2024/05/15 03:27:18
![计算：[（x²-2x+1）/（x²-1）]÷[（x-1）(x²+x)]-x要有过程解答.](/uploads/image/z/6920914-58-4.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A%5B%EF%BC%88x%26sup2%3B-2x%2B1%EF%BC%89%2F%EF%BC%88x%26sup2%3B-1%EF%BC%89%5D%C3%B7%5B%EF%BC%88x-1%EF%BC%89%28x%26sup2%3B%2Bx%29%5D-x%E8%A6%81%E6%9C%89%E8%BF%87%E7%A8%8B%E8%A7%A3%E7%AD%94.)
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)