SOLUTION: i need help reducing this problem {{{2x^2+5x-12 over 2x^2-7x+6}}}

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Question 109181: i need help reducing this problem 2x%5E2%2B5x-12+over+2x%5E2-7x%2B6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29 Start with the given expression


%28%28x%2B4%29%282x-3%29%29%2F%282x%5E2-7x%2B6%29 Factor 2x%5E2%2B5x-12 to get %28x%2B4%29%282x-3%29 (note: if you need help with factoring, check out this solver)

%28%28x%2B4%29%282x-3%29%29%2F%28%28x-2%29%282x-3%29%29 Factor 2x%5E2-7x%2B6 to get %28x-2%29%282x-3%29


%28%28x%2B4%29cross%282x-3%29%29%2F%28%28x-2%29cross%282x-3%29%29 Cancel like terms


%28x%2B4%29%2F%28x-2%29 Simplify


So %282x%5E2%2B5x-12%29%2F%282x%5E2-7x%2B6%29 simplifies to %28x%2B4%29%2F%28x-2%29