SOLUTION: (a+7)/ 3a^2+14a-49 over a^2+8a+7 Divide and, if possible, simplify. Show work. I don't understand how to do this problem. Could you please help show me how it is done?

Question 251182: (a+7)/ 3a^2+14a-49 over a^2+8a+7
Divide and, if possible, simplify. Show work.
I don't understand how to do this problem. Could you please help show me how it is done?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(a+7)/ 3a^2+14a-49 over a^2+8a+7
Divide and, if possible, simplify.
---------------------
(a+7)/[(3a-7)(a+7)] over [(a+7)(a+1)]
----
Cancel(a+7) to get:
1/[(3a-7)] over [(a+7)(a+1)]
-----------
Rewrite:
[1/(3a-7)]/[(a+7)(a+1)]/1
===========
Invert the denominator and multiply:
= 1/[(3a-7)(a+7)(a+1)]
===============================
Cheers,
Stan H.
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