2xy + 3wxy - 8x - 12wx 

              ___________________________

                     4xy^2 - 64x



Factor the numerator and denominator



               (2xy - 8x) + (3wxy - 12wx) 

              ___________________________

                     4x(y^2 - 16)



           

                 2x(y - 4) + 3wx(y - 4) 

              ___________________________

                    4x(y - 4)(y + 4)





                 (2x + 3wx)(y - 4) 

              ___________________________

                    4x(y - 4)(y + 4)





                    x(2 + 3w)(y - 4) 

              ___________________________

                    4x(y - 4)(y + 4)





                    

              ___________________________

                    







                 2 + 3w

              ____________

                4(y + 4)

 

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