You can
put this solution on YOUR website!The key is to factor the numerator! This is usually a tough factoring problem, but since the denominator has a factor of (x+6), you might just expect a factor of (x+6) in the numerator also. Otherwise, there won't be anything to do in this problem.
I'd start with

, and realize it has to start out

.
Expecting the factor of x+6 to show up here, I would next try:

.
Since the LAST term has to be a -6, this means that the blank space left in the previous step will have to be -1. Do you follow this?

. Now, check the middle term: 12x - 1x = + 11x.
Divide out the x+6 factors, and you have a final answer of

.
R^2 at SCC