SOLUTION: perform the indicated operation. Simplify if possible. 6a^2-8a-8 / a-2 --------- / ----- 2a^2-9a-56 / a-8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: perform the indicated operation. Simplify if possible. 6a^2-8a-8 / a-2 --------- / ----- 2a^2-9a-56 / a-8      Log On


   

Question 69223: perform the indicated operation. Simplify if possible.
6a^2-8a-8 / a-2
--------- / -----
2a^2-9a-56 / a-8
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
:
%28%286a%5E2-8a-8%29%29+%2F+%28%28a-2%29%29
------------------
%28%282a%5E2-9a-56%29%29+%2F%28%28+a-8%29%29
:
Remember when you divide fraction, you invert the dividing fraction and multiply
%28%286a%5E2-8a-8%29%29+%2F+%28%28a-2%29%29 * %28%28a-8%29%29%2F%28%282a%5E2-9a-56%29%29
:
%282%283a%5E2-4a-4%29%29+%2F+%28%28a-2%29%29 * %28%28a-8%29%29%2F%28%282a%5E2-9a-56%29%29: factor out 2
:
%282%283a%2B2%29%28a-2%29%29+%2F+%28%28a-2%29%29 * %28%28a-8%29%29%2F%28%282a%2B7%29%28a-8%29%29; factor the quadratics
:
Notice you can cancel out (a-2) and (a-8), you end up with:
:
%282%283a%2B2%29%29+%2F+%28%282a%2B7%29%29%29