分式的加减:x-1/x^2-3x+2-x+2/x^2+3x+2

问题描述:

分式的加减:x-1/x^2-3x+2-x+2/x^2+3x+2

(x-x^2)/(-x^2-3x-2)-(x^2+1)/(x^2+3x+2)=(x²-x)/(x²+3x+2)-(x²+1)/(x²+3x+2)=(x²-x-x²-1)/(x+1)(x+2)=-(x+1)/(x+1)(x+2)=-1/(x+2)