SOLUTION: Can you please help me with this? I am really confused. Multiply the fraction. (2x squared - x - 3 OVER 3x squared + 7x + 4)(3x squared - 11x - 20 OVER 4x squared - 9)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please help me with this? I am really confused. Multiply the fraction. (2x squared - x - 3 OVER 3x squared + 7x + 4)(3x squared - 11x - 20 OVER 4x squared - 9)      Log On


   

Question 116003: Can you please help me with this? I am really confused.
Multiply the fraction.
(2x squared - x - 3 OVER 3x squared + 7x + 4)(3x squared - 11x - 20 OVER
4x squared - 9)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the fraction.
(2x squared - x - 3 OVER 3x squared + 7x + 4)(3x squared - 11x - 20 OVER
4x squared - 9)
:
Write it:
%28%282x%5E2-x-3%29%29%2F%28%283x%5E2%2B7x%2B4%29%29 * %28%283x%5E2-11x-20%29%29%2F%28%284x%5E2-9%29%29
:
Look carefully all these quadratics can be factored
%28%282x-3%29%28x%2B1%29%29%2F%28%283x%2B4%29%28x%2B1%29%29 * %28%283x%2B4%29%28x-5%29%29%2F%28%282x-3%29%282x%2B3%29%29
:
You can see that the following can be canceled: (2x-3); (x+1); (3x+4) leaving:
%28%28x-5%29%29%2F%28%282x%2B3%29%29
:
After canceling, you just end up multiplying by 1