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 .
