00:01
In this problem, we're being asked to factor the given expression.
00:03
So, well, if you recall, when factoring, the first thing we need to do is factor out the greatest common factor.
00:09
So in this case, consider x plus 1 times x plus 2 squared, one term, and x plus 1 squared times x plus 2 a second term.
00:17
Well, what do they have in common? why, i notice that both terms contain this common factor of x plus 1, so we can factor that up.
00:25
I also notice that both of these terms contain the factor x plus 2, so we can factor.
00:30
One of those out as well.
00:33
All right, well, what's left? well, when we take out the x plus 1 from the first term, the x plus 1's gone, and we took out x plus 2, but remember, it was x plus 2 squared, which means we would drop the 2 down to a 1, so we're simply left with x plus 2.
00:47
Then i'll bring down the plus sign...