SOLUTION: Simplify: (3x^2-13x+4) / (6x^2+x-1)

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Question 114074: Simplify:
(3x^2-13x+4) / (6x^2+x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E2-13x%2B4%29+%2F+%286x%5E2%2Bx-1%29 Start with the given expression


%28%28x-4%29%283x-1%29%29+%2F+%286x%5E2%2Bx-1%29 Factor 3x%5E2-13x%2B4 to get %28x-4%29%283x-1%29 (note: if you need help with factoring, check out this solver)


%28%28x-4%29%283x-1%29%29+%2F+%28%282x%2B1%29%283x-1%29%29 Factor 6x%5E2%2Bx-1 to get %282x%2B1%29%283x-1%29



%28%28x-4%29cross%28%283x-1%29%29%29+%2F+%28%282x%2B1%29cross%28%283x-1%29%29%29 Cancel like terms


%28x-4%29%2F%282x%2B1%29 Simplify


So %283x%5E2-13x%2B4%29+%2F+%286x%5E2%2Bx-1%29 simplifies to %28x-4%29%2F%282x%2B1%29