00:01
We're being asked to factor the given polynomial.
00:03
Well, anytime you're asked to factor, you should always look for a greatest common factor first, which in this case, we have a common factor of a two.
00:10
So we're going to factor that up.
00:13
So when we divide both of our terms by two, we're going to be left with b to the third minus 8.
00:19
So now we're going to see if we can factor this binomial.
00:22
Well, they're both perfect cubes, and they're getting subtracted.
00:25
So this is simply a difference of cubes problem.
00:28
So we're going to keep that two for the gcf on the outside.
00:31
When we factor b to the 3rd minus 8, the first factor will be a binomial.
00:37
To get the first term in the binomial, we take the cube root of the first term.
00:41
Well, the cube root of the 3rd is just b...