SOLUTION: Multiply the following fraction. 2x^2 – x -3 / 3x^2 + 7x + 4 * 3x^2 – 11x – 20 / 4x^2 - 9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply the following fraction. 2x^2 – x -3 / 3x^2 + 7x + 4 * 3x^2 – 11x – 20 / 4x^2 - 9       Log On


   

Question 75833: Multiply the following fraction.
2x^2 – x -3 / 3x^2 + 7x + 4 * 3x^2 – 11x – 20 / 4x^2 - 9
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


         2x^2 – x -3         3x^2 – 11x – 20 

       _______________  *   _________________    

        3x^2 + 7x + 4           4x^2 - 9





FActor both numerators and denominators



       (2x - 3)(x + 1)         (3x + 4)(x - 5)

       ________________   *   ___________________

       (3x + 4)(x + 1)         (2x - 3)(2x + 3)







Divide the greatest common factors



       cross+%28%282x+-+3%29%28x+%2B+1%29%29         cross%283x+%2B+4%29(x - 5)

       ________________   *   _________________

       cross+%28%283x+%2B+4%29%28x+%2B+1%29%29         cross%282x+-+3%29(2x + 3)









         x - 5

       _________

         2x + 3









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