(w-8/w-9) - (w+1/w-9) + (w-27/w

As the first two terms have the same denominator they can be combined :

(w-8/w-9) - (w+1/w-9) = -9 / w - 9

The denominator for the third term can be factored :- (w-27/w

Combining the new expressions gives :-

-9 /(w - 9) + (w - 27/(w + 9)(w - 9)

Now multiply the first term by (w + 9) to provide a common denominator

-9(w + 9) / (w - 9)(w + 9) + (w - 27/ (w + 9)(w - 9) = -9w - 81 + w - 27 / (w + 9)(w - 9) = -8w - 108 / (w + 9)(w - 9)

This can be simplified to : -4(2w + 27) / (w

Note : The answer is based on the original terms being as expressed in the top line of the answer. If this is incorrect then the eventual answer may be different.

^{2}-81)As the first two terms have the same denominator they can be combined :

(w-8/w-9) - (w+1/w-9) = -9 / w - 9

The denominator for the third term can be factored :- (w-27/w

^{2}-81) = w - 27 / (w + 9)(w - 9)Combining the new expressions gives :-

-9 /(w - 9) + (w - 27/(w + 9)(w - 9)

Now multiply the first term by (w + 9) to provide a common denominator

-9(w + 9) / (w - 9)(w + 9) + (w - 27/ (w + 9)(w - 9) = -9w - 81 + w - 27 / (w + 9)(w - 9) = -8w - 108 / (w + 9)(w - 9)

This can be simplified to : -4(2w + 27) / (w

^{2}- 81)Note : The answer is based on the original terms being as expressed in the top line of the answer. If this is incorrect then the eventual answer may be different.