SOLUTION: Multiply the fraction and put in simplest form: 2x^2-x-3 * 3x^2-11x-20 ------------------------ 3x^2+7x+4 * 4x^2-9 It then says to factor but when it says to factor I be

Algebra ->  Algebra  -> Equations -> SOLUTION: Multiply the fraction and put in simplest form: 2x^2-x-3 * 3x^2-11x-20 ------------------------ 3x^2+7x+4 * 4x^2-9 It then says to factor but when it says to factor I be      Log On

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Question 65475: Multiply the fraction and put in simplest form:
2x^2-x-3 * 3x^2-11x-20
------------------------
3x^2+7x+4 * 4x^2-9
It then says to factor but when it says to factor I become lost and confused on the whole ordeal. Is there a way someone cuold help me out with the answer and a good break down of how to work a problem like this for the future? Thank you in advance for the great help :-)
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the fraction and put in simplest form:
2x^2-x-3 * 3x^2-11x-20
------------------------
3x^2+7x+4 * 4x^2-9

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Factor and re-write as follows:
=[(2x-3)(x+1)*(x-5)(3x+4)]/[(x+1)(x+4)*(2x-3)(2x+3)]
Cancel where you can to get:
=[(x-5)(3x+4)]/[(x+4)(2x+3)]
Cheers,
Stan H.
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