化简:(x^2-1/x^2-2x+1+1-x/x+1)÷x/x-1
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解决时间 2021-04-07 16:23
- 提问者网友：佞臣
- 2021-04-07 07:39
化简:(x^2-1/x^2-2x+1+1-x/x+1)÷x/x-1
最佳答案
- 五星知识达人网友：猎心人
- 2021-04-07 08:30
=[(x+1)(x-1)/(x-1)²-(x-1)/(x+1)]×(x-1)/x
=[(x+1)/(x-1)-(x-1)/(x+1)]×(x-1)/x
=[(x+1)²-(x-1)²]/(x+1)(x-1)×(x-1)/x
=4x/(x+1)(x-1)×(x-1)/x
=4/(x+1)
=[(x+1)/(x-1)-(x-1)/(x+1)]×(x-1)/x
=[(x+1)²-(x-1)²]/(x+1)(x-1)×(x-1)/x
=4x/(x+1)(x-1)×(x-1)/x
=4/(x+1)
全部回答
- 1楼网友：一袍清酒付
- 2021-04-07 09:29
(2x/x-1 - x/x+1) / 1/x^2-1， =[2x(x+1)-x(x-1)/(x-1)(x+1)]*(x+1)(x-1) =2x^2+2x-x^2-x =x^2+x=x(x+1) =(根号2-1)*根号2 =2-根号2
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