SOLUTION: Divide and Simplify: 2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15

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Question 55996: Divide and Simplify:
2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and Simplify:

2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15
:
%282x%5E2%2B11x%2B12%29%2F%28x%5E2-7x%2B10%29
-------------------
%28x%5E2%2Bx-12%29%2F%28x%5E2-8x%2B15%29
Invert the dividing fraction and multiply:
%282x%5E2%2B11x%2B12%29%2F%28x%5E2-7x%2B10%29*%28x%5E2-8x%2B15%29%2F%28x%5E2%2Bx-12%29
:
Factor each quadratic:
%282x%2B3%29%28x%2B4%29%2F%28x-5%29%28x-2%29*%28x-5%29%28x-3%29%2F%28x-3%29%28x%2B4%29
:
Note that you can cancel (x+4), (x-5), and (x-3), this leaves you with:
%282x%2B3%29%2F%28x-2%29