SOLUTION: help divide these fractions 4x^2/x^2 - 25 divided 2x/x^2 + 2x - 15

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Question 73804: help divide these fractions
4x^2/x^2 - 25 divided 2x/x^2 + 2x - 15
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
help divide these fractions
4x^2/x^2 - 25 divided 2x/x^2 + 2x - 15
:
4x%5E2%2F%28%28x%5E2+-+25%29%29 divided 2x%2F%28%28x%5E2+%2B+2x+-+15%29%29
:
Remember when you divide, you invert the dividing fraction and multiply:
4x%5E2%2F%28%28x%5E2+-+25%29%29 * %28%28x%5E2+%2B+2x+-+15%29%29%2F%282x%29
:
do some factoring:
4x%5E2%2F%28%28x-5%29%28x%2B5%29%29%29 * %28%28x%2B5%29%28x-3%29%29%2F%282x%29
:
Do some canceling and we have:
2x%2F%28%28x-5%29%29%29 * (x-3) = %282x%28x-3%29%29%2F%28%28x-5%29%29%29 = %28%282x%5E2-6x%29%29%2F%28%28x-5%29%29%29