00:01
In this problem, we're being asked to multiply the two trinomials.
00:03
To do this, we're going to use the distributed property.
00:06
And here's how.
00:07
We're going to take that first term in the first trinomial, which is a squared.
00:11
And we're going to multiply it by the second trinomial, which was a squared minus a minus b.
00:18
Next, we're going to take the second term in that first trinomial, which is positive a, and we're going to also multiply it by our second trinomial, a squared, minus a, minus b.
00:29
Lastly, we're going to take the last term in that first trinomial, which is positive b, and multiply it by the second trinomial, which is a squared minus a minus b.
00:40
And now we just have to go and distribute.
00:43
Well, a squared times a squared is a to the fourth.
00:46
A squared times negative a is negative a to the third.
00:50
And a squared times negative b is negative a squared b.
00:55
Next, we need to multiply a times a squared, which is positive a to the third.
01:00
Then we're going to multiply a times negative a, which is negative a squared, and then we're going to multiply a times negative b, which is negative a b.
01:11
Lastly, we're going to multiply b times a squared, which is positive a squared b.
01:16
Then we're going to multiply b times negative a, which is negative ab...