SOLUTION: multiply the fractions: {{{(2x^2-x-3)/(3x^2+7x+4)}}}.{{{(3x^2-11x-20)/(4x^2-9)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: multiply the fractions: {{{(2x^2-x-3)/(3x^2+7x+4)}}}.{{{(3x^2-11x-20)/(4x^2-9)}}}      Log On


   

Question 81667: multiply the fractions:
%282x%5E2-x-3%29%2F%283x%5E2%2B7x%2B4%29.%283x%5E2-11x-20%29%2F%284x%5E2-9%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

multiply the fractions: 
%282x%5E2-x-3%29%2F%283x%5E2%2B7x%2B4%29.%283x%5E2-11x-20%29%2F%284x%5E2-9%29

Factor all the numerators and denominators:

%28+%28x%2B1%29%282x-3%29+%29%2F%28%28x%2B1%29%283x%2B4%29%29.%28%28x-5%29%283x%2B4%29%29%2F%28%282x-3%29%282x%2B3%29+++++++++++%29

Indicate multiplication of numerators and denominators and write
them altogether as one fraction:

 

The %28x%2B1%29 in the top and bottom cancel.
The %282x-3%29 in the top and bottom cancel.
The %283x%2B4%29 in the top and bottom cancel.
All that's left is

%28%28x-5%29%29%2F%28%282x%2B3%29%29

and you can erase the parentheses and just have

%28x-5%29%2F%282x%2B3%29

Edwin