解方程：1/(x-1)-6/(1-x³)=（x-1）/(x²+x+1)

解方程：1/(x-1)-6/(1-x³)=（x-1）/(x²+x+1)
解方程：1/(x-1)-6/(1-x³)=（x-1）/(x²+x+1)

解方程：1/(x-1)-6/(1-x³)=（x-1）/(x²+x+1)
1/(x-1)-6/(1-x³)=（x-1）/(x²+x+1)
(x²+x+1)/(x³-1)+6/(x³-1)=（x-1)²/(x³-1)
(x²+x+1)+6=（x-1)²
x²+x+7= x²-2x+1
3x=-6
x=-2

1/(x-1)+6/(x-1)(x²+x+1)=(x-1)/(x²+x+1)
两边乘(x-1)(x²+x+1)
x²+x+1+6=x²-2x+1
3x=-6
x=-2