SOLUTION: Please help me perform the indicated operation and simplify if possible. {{{((6a^2-8a-8)/(2a^2-9a-56))/((a-2)/(a-8))}}} I keep on getting different answers of {{{2(3a+2)/(2a+7)}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me perform the indicated operation and simplify if possible. {{{((6a^2-8a-8)/(2a^2-9a-56))/((a-2)/(a-8))}}} I keep on getting different answers of {{{2(3a+2)/(2a+7)}}      Log On


   

Question 205641: Please help me perform the indicated operation and simplify if possible.
%28%286a%5E2-8a-8%29%2F%282a%5E2-9a-56%29%29%2F%28%28a-2%29%2F%28a-8%29%29
I keep on getting different answers of 2%283a%2B2%29%2F%282a%2B7%29 and 2%283a%2B2%29%28a-8%29%2F%282a%5E2-65%29. Thank you tutor for checking this out for me and showing me the correct steps.
Found 2 solutions by Targetweek, Edwin McCravy:
Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
1. %286a%5E2-8a-8%29%2F%282a%5E2-9a-56%29%2F%28a-2%29%2F%28a-8%29
- first start by factoring the polynomials
2. %28%286a%2B4%29%28a-2%29%29%2F%28%282a%5E2-9a-56%29%28a-2%29%28a-8%29%29
3. %28%286a%2B4%29%28a-2%29%29%2F%28%282a%2B7%29%28a-8%29%28a-2%29%28a-8%29%29
- Now Cross out like terms
4. %286a%2B4%29%2F%28%282a%2B7%29%28a-8%29%5E2%29
- Next simplify the denominator
5. %286a%2B4%29%2F%28%282a%2B7%29%28a%5E2-16a%2B64%29%29
6. %286a%2B4%29%2F%282a%5E3-32a%5E2%2B128a%2B7a%5E2-112a%2B448%29
7. %286a%2B4%29%2F%282a%5E3-25a%5E2%2B16a%2B448%29
- Now either
%286a%2B4%29%2F%28%282a%2B7%29%28a-8%29%5E2%29 or %286a%2B4%29%2F%282a%5E3-25a%5E2%2B16a%2B448%29
may be correct depending on you teacher and the book you are using but they are essentially the same answer

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Targetweek's solution is wrong!
Edwin's solution: 


Your first answer is correct.  Going at the slowpoke
rate of one step at a time:

%28%286a%5E2-8a-8%29%2F%282a%5E2-9a-56%29%29%2F%28%28a-2%29%2F%28a-8%29%29

%28%286a%5E2-8a-8%29%2F%282a%5E2-9a-56%29%29÷%28%28a-2%29%2F%28a-8%29%29

%28%286a%5E2-8a-8%29%2F%282a%5E2-9a-56%29%29%2A%28%28a-8%29%2F%28a-2%29%29

%28%282%283a%5E2-4a-4%29%29%2F%282a%5E2-9a-56%29%29%2A%28%28a-8%29%2F%28a-2%29%29

%28%282%283a%2B2%29%28a-2%29%29%2F%282a%5E2-9a-56%29%29%2A%28%28a-8%29%2F%28a-2%29%29

%28%282%283a%2B2%29%28a-2%29%29%2F%282a%2B7%29%28a-8%29%29%2A%28%28a-8%29%2F%28a-2%29%29

+%282%283a%2B2%29%28a-2%29%28a-8%29%29+%2F+%28%282a%2B7%29%28a-8%29%28a-2%29%29+





+%282%283a%2B2%29%29+%2F+%282a%2B7%29+

Edwin