SOLUTION: Simplify: (a^2-36)/(x^2-y^2) divided by (a+6)/(y-x) Please have a clear step-by-step explanation!

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Question 1019492: Simplify:
(a^2-36)/(x^2-y^2)
divided by
(a+6)/(y-x)
Please have a clear step-by-step explanation!
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
You will need your algebra factorization knowledge(skills) and your already-learned fraction skills.

%28%28a%5E2-36%29%2F%28x%5E2-y%5E2%29%29%2F%28%28a%2B6%29%2F%28y-x%29%29

%28%28a%5E2-36%29%2F%28y-x%29%29%28%28x%5E2-y%5E2%29%2F%28a%2B6%29%29, this could have been done in two or three more steps, but the "invert and multiply" is easier.

%28%28a%5E2-36%29%28x%5E2-y%5E2%29%29%2F%28%28y-x%29%28a%2B6%29%29
NOW is when you factorize and simplify....
You take care of the rest.