SOLUTION: Divide {{{((x^2+2x-15)/(4x^2))/((x^2-25)/(2x-10))}}}

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Question 53737: Divide
%28%28x%5E2%2B2x-15%29%2F%284x%5E2%29%29%2F%28%28x%5E2-25%29%2F%282x-10%29%29

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
You have a complex fraction which by definition expands to %28%28x%5E2%2B2x-15%29%2F4x%5E2%29%28%282x-10%29%2F%28x%5E2-25%29%29. Factoring yields %28%28x-3%29%28x%2B5%29%2F4x%5E2%29%2A%282%28x-5%29%2F%28x%2B5%29%28x-5%29%29. Simplifying gives us 2%28x-3%29%2F4x%5E2 which reduces to %28x-3%29%2F2x%5E2.