SOLUTION: Divide and simplify: y^2+7y+10/2y-4 divided by y^2-3y-10/y-2

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Question 148493: Divide and simplify:
y^2+7y+10/2y-4 divided by y^2-3y-10/y-2
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%5E2%2B7y%2B10%29%2F%282y-4%29 divided by %28y%5E2-3y-10%29%2F%28y-2%29

Factor everything possible

%28y%2B5%29%28y%2B2%29%2F%282%28y-2%29%29 divided by %28y-5%29%28y%2B2%29%2F%28y-2%29

Cancel everything in common

%28y%2B5%29%2F%282%29 divided by %28y-5%29%2F1

Now flip the second one

%28y%2B5%29%2F%282%29 multiplied by 1%2F%28y-5%29

Then multiply

1%28y%2B5%29%2F%282%29%28y-5%29

Simplify the mess

%28y%2B5%29%2F%282y-10%29

Take negative two out of the denominator

%28y%2B5%29%2F-2%28y%2B5%29

Cancel out like terms

1%2F-2