SOLUTION: x^2 + 2x - 15/4x^2 divided by x^2 - 25/2x - 10

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Question 46781: x^2 + 2x - 15/4x^2 divided by x^2 - 25/2x - 10
Answer by gsmani_iyer(178) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B2x-15%29%2F4x%5E2 divided by %28x%5E2-25%29%2F%282x-10%29

= %28x%5E2%2B2x-15%29%2F4x%5E2 multiplied by the inverse of %28x%5E2-25%29%2F%282x-10%29

= %28%28x%5E2%2B2x-15%29%2F%28%282x%29%5E2%29%29%28%282x-10%29%2F%28x%5E2-25%29%29 = %28highlight%28%28x%5E2%2B2x-15%29%29%2F%28highlight%28%282x%29%5E2%29%29%29%28highlight%28%282x-10%29%29%2Fhighlight%28%28x%5E2-25%29%29%29

= %28%28x%2B5%29%28x-3%29%2F%282%282x%5E2%29%29%29%282%28x-5%29%2F%28x%2B5%29%28x-5%29%29 = %28cross%28%28x%2B5%29%29%28x-3%29%2F%28cross%282%29%282x%5E2%29%29%29%28cross%282%29cross%28%28x-5%29%29%2Fcross%28%28x%2B5%29%29cross%28%28x-5%29%29%29 = %28x-3%29%2F2x%5E2 Answer.

gsm