(x-2)*[(x2+2x+4)/(x3-8)-5/(x2+x-6)]
=(x-2)*[(x2+2x+4)/(x-2)(x2+2x+4)-5/(x2+x-6)]
=(x-2)*[1/(x-2)-5/(x-2)(x+3)]
=1-5/(x+3)
=(x-2)/(x+3)