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





 

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