(3x+2)/(x²-5x+6)-(2x+3)/(x²-5x6)+(x-3)/(x²-5x+6)
=(3x+2-2x-3+x-3)/(x²-5x+6)
=(2x-4)/(x²-5x+6)
=【2(x-2)】/【(x-2)(x-3)】
=2/(x-3)