计算:(x-3)分之1-(2x+6)分之1-(x的平方-6x+9)分之x

问题描述:

计算:(x-3)分之1-(2x+6)分之1-(x的平方-6x+9)分之x

原式=1/(x-3)-1/2(x+3)-x/(x-3)²=[2(x+3)(x-3)-(x-3)²-2x(x+3)]/[2(x+3)(x-3)²]=(2x²-18-x²+6x-9-2x²+6x)/[2(x+3)(x-3)²]=(-x²+12x-27)/[2(x+3)(x-3)²]=-(x-3)(x-9)/[...