Simplify 3x^(2)+13x-30/x^(2)-32

First of all spot that the bottom of the fraction is a result of the difference of two squares and can be rearranged to (x+6)(x-6), making the fraction equal to 3x^(2)+13x-30/(x+6)(x-6). Use this knowledge to look if the top of the fraction can be rearranged into two brackets, one of which is either (x+6) or (x-6). Rearrange 3x^(2)+13x-30 to (x+6)(3x-5) making the fraction equal to (x+6)(3x-5)/(x+6)(x-6). Cancel (x+6) from both the top and bottom of the fraction leaving the simplified version as (3x-5)/(x-6)