x-3/x²-1 ÷ (x-3)(x+1)/x²+2x+1 + 1/x+1,其中x=2

问题描述:

x-3/x²-1 ÷ (x-3)(x+1)/x²+2x+1 + 1/x+1,其中x=2

x-3/x²-1 ÷ (x-3)(x+1)/x²+2x+1 + 1/x+1
=(x-3)(x+1)²/(x+1)(x-1)(x-3)(x+1)+1/x+1
=x+1/x-1+1/x+1
=(2+1)/(2-1)+1/(2+1)
=3+1/3=10/3