1/(x²-1)-2/(x+1)-1/(x-1)=0
1-2(x-1)-(x+1)=0
1-2x+2-x-1=0
3x=2
x=2/3
经检验x=2/3是方程的根
所以x=2/3不好意思，再问一题“（1+x）分之1+（1-x）的2次方分之2x ”应该怎么化简？1/(1+x)+2x/(1-x)²=(x-1)²/(x+1)(x-1)²+2x(x+1)/(x-1)²(x+1)=(x²-2x+1+2x)/[(x+1)(x-1)²]=(x²+1)/[(x-1)²(x+1)]