(w-8/w-9) - (w+1/w-9) + (w-27/w2-81)
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/w2-81) = 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) / (w2 - 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.
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/w2-81) = 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) / (w2 - 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.