Question 834929
You forgot one of the factorizations.


{{{((x^2-8x+15)/(x^2+12x+32))((x+4)/(x^2-25))}}}


{{{((x-5)(x-3)/((x+8)(x+4)))  ((x+4)/((x+5)(x-5)))}}}


{{{(cross((x-5))(x-3)/((x+8)cross((x+4))))  (cross((x+4))/((x+5)cross((x-5))))}}}


Now you can do the multiplying to simplify.