1/(x²-6x+9)+x/(9-x²)+1/(2x+6)=1/(x-3)²-x/[(x+3)(x-3)]+1/[2(x+3)]=[2(x+3)-2x(x-3)+(x-3)²]/[2(x-3)²(x+3)]=(-x²+2x+15)/[2(x-3)²(x+3)]=-(x+3)(x-5)/[2(x-3)²(x+3)]=(5...