Question 84727
Actually the numerator does factor. You probably made an error.

{{{x^2 - 3x - 18}}} = {{{(x - 6)* (x + 3)}}}

So :- {{{(x^2 - 3x - 18)/(x - 6)}}} = {{{((x -6) * (x + 3))/(x - 6)}}}

      =  x + 3