化简求值,(3x/x-1-x/x+1)/x/x2-1,其中x=根号2-2

问题描述:

化简求值,(3x/x-1-x/x+1)/x/x2-1,其中x=根号2-2

[3x/(x-1) - x/(x+1)]÷ x/(x²-1)=[3x/(x-1) - x/(x+1)] * (x²-1)/x=[3x/(x-1)]* (x²-1)/x - [x/(x+1)] * (x²-1)/x=3(x+1) -(x-1)=3x+3-x+1=2x+4=2(根号2-2)+4=2根号2 - 4+4=2根号2