00:03
Okay, let's expand this binomial, and there are a few patterns that we're going to follow.
00:08
First of all, the coefficients are going to come from row three of pascal's triangle.
00:13
So the coefficients are 1, 3, 3, and 1.
00:18
And then the powers of a are going to descend, starting with a cubed, then a squared, then a to the 1st, and then a to the 0, but we don't usually write in the a to the 0, we just leave it out.
00:32
And then the powers on b are going to ascend, starting with b to the 0, but we just don't write the b to the 0.
00:39
We leave it out...