(x²-x)/(x²-2x+1)-x/(x+1)
=x(x-1)/(x-1)²-x/(x+1)
=x/(x-1)-x/(x+1)
=x(x+1)/(x-1)(x+1)-x(x-1)/(x-1)(x+1)
=(x²+x-x²+x)/(x-1)(x+1)
=2x/(x-1)(x+1)
将x=2代人上式得
原式=4/3