Question 879618
The quadratic denominator is (w-2)(w+6).  Raise the first rational expression to higher terms using {{{(w-2)/(w-2)=1}}}.


{{{(9(w-2)-(w^2-2w))/(w^2+4w-12)}}}

{{{(9w-18-w^2+2w)/(w^2+4w-12)}}}

{{{(-w^2+11w-18)/(w^2+4w-12)}}}

{{{(-1)(w^2-11w+18)/(w^2+4w-12)}}}

FACTORABLE NUMERATOR, and remember the factorization of the denominator:

{{{(-1)(w-2)(w-9)/((w-2)(w+6))}}}

{{{(-1)cross((w-2))(w-9)/(cross((w-2))(w+6))}}}