分式的加减运算题一道.x/(x²+x)÷(x²+x-2)/x²-1+(x+1)/(x+2)

分式的加减运算题一道.x/(x²+x)÷(x²+x-2)/x²-1+(x+1)/(x+2)
分式的加减运算题一道.
x/(x²+x)÷(x²+x-2)/x²-1+(x+1)/(x+2)

分式的加减运算题一道.x/(x²+x)÷(x²+x-2)/x²-1+(x+1)/(x+2)

由题意得：x/(x²+x)÷(x²+x-2)/(x²-1)+(x+1)/(x+2)
=x/x(x+1)× (x+1)(x-1)/(x-1)(x+2)+(x+1)(x+2)
=1/(x+2)+(x+1)/(x+2)
= (x+2)/(x+2)=1. 望采纳！

x/(x²+x)÷(x²+x-2)/x²=1/x+2
所以原式=1/（x+2）+(x+1)/(x+2）-1=0
求采纳