SOLUTION: perform the indicated operation and simplify your answer: x^2+6x+5 over 3x^2-9x-12 divided by 2x^2+9x-5 over 2x^2+5x-3

Algebra ->  Rational-functions -> SOLUTION: perform the indicated operation and simplify your answer: x^2+6x+5 over 3x^2-9x-12 divided by 2x^2+9x-5 over 2x^2+5x-3      Log On


   

Question 1120328: perform the indicated operation and simplify your answer:
x^2+6x+5 over 3x^2-9x-12 divided by 2x^2+9x-5 over 2x^2+5x-3
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(a/b) / (c/d) = (a/b)*(d/c)

So the expression is

=
%28%28x%5E2%2B6x%2B5%29%282x%5E2%2B5x-3%29%29%2F%28%283x%5E2-9x-12%29%282x%5E2%2B9x-5%29%29

Factor each of the quadratic factors and simplify where possible.

Note that it is easiest to factor the simpler quadratics first; hoping that the expression will simplify, that will give you ideas of how the more difficult quadratics will factor.

=
%28x%2B3%29%2F%283%28x-4%29%29