SOLUTION: 3w + 18/w^2 - 36 [divided by] w^2 + 3w - 18/w^2 - 3w - 18 (PS: Please show how you worked it out. I have been having mojor problems with these kinds of questions. Tha

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 3w + 18/w^2 - 36 [divided by] w^2 + 3w - 18/w^2 - 3w - 18 (PS: Please show how you worked it out. I have been having mojor problems with these kinds of questions. Tha      Log On

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Question 142861: 3w + 18/w^2 - 36 [divided by] w^2 + 3w - 18/w^2 - 3w - 18


(PS: Please show how you worked it out. I have been having mojor problems with these kinds of questions. Thanks.)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283w%2B18%29%2F%28w%5E2-36%29%29%2F%28%28w%5E2%2B3w-18%29%2F%28w%5E2-3w-18%29%29 Start with the given expression

%28%283w%2B18%29%2F%28w%5E2-36%29%29%2A%28%28w%5E2-3w-18%29%2F%28w%5E2%2B3w-18%29%29 Multiply the first fraction by the reciprocal of the second fraction


%28%283%28w%2B6%29%29%2F%28w%5E2-36%29%29%28%28w%5E2-3w-18%29%2F%28w%5E2%2B3w-18%29%29 Factor 3w%2B18 to get 3%28w%2B6%29

Factor w%5E2-36 to get %28w%2B6%29%28w-6%29

Factor w%5E2-3w-18 to get %28w-6%29%28w%2B3%29

Factor w%5E2%2B3w-18 to get %28w%2B6%29%28w-3%29


%283%28w%2B6%29%28w-6%29%28w%2B3%29%29%2F%28w%2B6%29%28w-6%29%28w%2B6%29%28w-3%29 Combine the fractions


Highlight like terms


Cancel like terms


%283%28w%2B3%29%29%2F%28w%2B6%29%28w-3%29 Simplify


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Answer:

So %28%283w%2B18%29%2F%28w%5E2-36%29%29%28%28w%5E2-3w-18%29%2F%28w%5E2%2B3w-18%29%29 simplifies to %283%28w%2B3%29%29%2F%28w%2B6%29%28w-3%29.