SOLUTION: x^2-5x-14/2x^2-x-10

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Question 119876: x^2-5x-14/2x^2-x-10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-5x-14%29%2F%282x%5E2-x-10%29 Start with the given expression

%28%28x-7%29%28x%2B2%29%29%2F%282x%5E2-x-10%29 Factor x%5E2-5x-14 to get %28x-7%29%28x%2B2%29

%28%28x-7%29%28x%2B2%29%29%2F%28%282x-5%29%28x%2B2%29%29 Factor 2x%5E2-x-10 to get %282x-5%29%28x%2B2%29


%28x-7%29%28x%2B2%29%2F%282x-5%29%28x%2B2%29 Combine the fractions


%28x-7%29cross%28%28x%2B2%29%29%2F%282x-5%29cross%28%28x%2B2%29%29 Cancel like terms


%28x-7%29%2F%282x-5%29 Simplify


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Answer:

So %28x%5E2-5x-14%29%2F%282x%5E2-x-10%29 simplifies to %28x-7%29%2F%282x-5%29. In other words %28x%5E2-5x-14%29%2F%282x%5E2-x-10%29=%28x-7%29%2F%282x-5%29