SOLUTION: I have the following fraction to simplify, but I'm unsure if I have it correct. x^2 - y^2/6x + 6y My answer is x - y/12 Could you please tell me if my answer is correct?

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: I have the following fraction to simplify, but I'm unsure if I have it correct. x^2 - y^2/6x + 6y My answer is x - y/12 Could you please tell me if my answer is correct?      Log On

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Question 100175: I have the following fraction to simplify, but I'm unsure if I have it correct.
x^2 - y^2/6x + 6y
My answer is x - y/12
Could you please tell me if my answer is correct?
Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume that your problem is %28x%5E2-y%5E2%29%2F%286x%2B6y%29 and not x%5E2-%28y%5E2%29%2F%286x%29%2B6y. The use of parens and brackets can sometimes help to clarify the problem.

%28x%5E2-y%5E2%29%2F%286x%2B6y%29
Looking at the numerator: %28x%5E2-y%5E2%29=%28x%2By%29%28x-y%29
Looking at the denominator: %286x%2B6y%29=6%28x%2By%29
Now we have:
%28%28x%2By%29%28x-y%29%29%2F%286%28x%2By%29%29
Cancel the x%2By%29 in the numerator and denominator and we end up with:
%28x-y%29%2F6----------------ans

Hope this helps---ptaylor