SOLUTION: How do I multiply the following fraction? {{{((2x^2 - x - 3)/(3x^2+7x+4))*((3x^2 - 11x -20)/(4x^2-9))}}}

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: How do I multiply the following fraction? {{{((2x^2 - x - 3)/(3x^2+7x+4))*((3x^2 - 11x -20)/(4x^2-9))}}}       Log On

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Question 45919: How do I multiply the following fraction?
%28%282x%5E2+-+x+-+3%29%2F%283x%5E2%2B7x%2B4%29%29%2A%28%283x%5E2+-+11x+-20%29%2F%284x%5E2-9%29%29

Answer by jake_6233(74) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x%5E2+-+x+-+3%29%2F%283x%5E2%2B7x%2B4%29%29%2A%28%283x%5E2+-+11x+-20%29%2F%284x%5E2-9%29%29
The first thing to do is to factor as much as possible before trying to multiply
%28%282x-3%29%28x%2B1%29%2F%283x%2B4%29%28x%2B1%29%29%2A%28%28x-5%29%283x%2B4%29%2F%284x%5E2-9%29%29 After canceling we have
%282x-3%29%28x-5%29%2F%284x%5E2-9%29 is your final answer