x^2-6x+9-y^2 _____________ 2x-6-2y Factor the numerator and the denominator (x^2-6x+9)-y^2 _______________ 2(x - 3 - y) [(x - 3)(x - 3)]-y^2 ______________________ 2(x - 3 - y) (x - 3)^2 - y^2 ______________________ 2(x - 3 - y) ((x - 3) - y)((x - 3) + y) ___________________________ 2(x - 3 - y) ____________________ x - 3 + y ___________ 2