先化简再求值:(x²+x\x-1-x-1)÷x³+x²\x²-2x+1 其中x=2

问题描述:

先化简再求值:(x²+x\x-1-x-1)÷x³+x²\x²-2x+1 其中x=2

原式=(x²+x-x²+1)/(x-1)*x²(x+1)/(x-1)²
=(x+1)/(x-1)*(x-1)²/x²(x+1)
=(x-1)/x²
=(2-1)/2²
=1/4