The equation given in the question for simplification is
(w^2 + 2w - 24/ w^2 + w - 30 ) + 8/ w - 5
Firstly let us simplify
w^2 + 2w - 24 = w^2 + 6w - 4w - 24
= (w + 6)(w - 4)
Secondly let us simplify
w^2 + w - 30 = w^2 + 6w - 5w - 30
= (w + 6)(w - 5)
Then
(w + 6)(w - 4)/(w + 6)(w - 5) + 8/(w - 5)
=(w - 4)/(w - 5) + 8/(w - 5)
=(w - 4 + 8)/(w - 5)
= (w + 4)/(w - 5)
I hope the procedure is clear enough for you to understand and this is the answer that you were looking for and the answer has actually come to your desired help.
