计算:2x/(x-2)(x+1)÷(1-x/x+1)-x²+2x/x²-4?

问题描述:

计算:2x/(x-2)(x+1)÷(1-x/x+1)-x²+2x/x²-4?
1个回答 分类:数学 2014-10-25

问题解答:

我来补答
2x/(x-2)(x+1)÷(1-x/x+1)-x²+2x/x²-4?
=2x/(x-2)(x+1)×(x+1)/(1-x)-x(x+2)/(x+2)(x-2)
=2x/(x-2)(1-x)-x/(x-2)
=x/(x-2)×((2-1+x)/(1-x))
=x(x+1)/(x-2)(1-x);
如果本题有什么不明白可以追问,
再问: 2x/(x-2)(x+1)×(x+1)/(1-x)-x(x+2)/(x+2)(x-2)这一步你弄错了啦 2x/(x-2)(x+1)÷(1-x/x+1)-x²+2x/x²-4中“(1-x/x+1)”不是整体,有俩项1是以项,x/x+1是以项
再答: 额。。。 2x/(x-2)(x+1)÷(1-x/x+1)-x²+2x/x²-4 =2x/(x-2)(x+1)÷(1/(x+1))-x(x+2)/(x+2)(x-2) =2x/(x-2)(x+1)×(x+1)-x/(x-2) =2x/(x-2)-x/(x-2) =x/(x-2)
 
 
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