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

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Question 148471: Divide and simplify:
y^2+y+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!
%28%28y%5E2%2By%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%29%29

Factor out everything possible:

%28%28y%5E2%2By%2B10%29%2F2%28y-2%29%29%2F%28%28y-2%29%28y%2B5%29%2F%28y-2%29%29

Cancel out like expressions

%28%28y%5E2%2By%2B10%29%2F2%29%2F%28y%2B5%29

Flip

%28%28y%5E2%2By%2B10%29%2F2%29%281%2F%28y%2B5%29%29

Multiply

%28y%5E2%2By%2B10%29%2F2%28y%2B5%29