00:01
So here we're multiplying a monomial with a polynomial.
00:05
What we're going to do is multiply this outside term with every term on the inside of the parentheses.
00:13
So we can write that out like this.
00:18
Negative 8 u to the 5th times 9 u to the 4th, our first term, plus negative 8 u to the 5th times 8 u to the 3rd or second term, plus, plus negative 8 u to the 5th times 12 u and finally plus negative 8 u to the 5th times a negative 1.
00:50
And now all we have to do is simplify this out.
00:53
So let's start here.
00:54
We have a negative 8 u to the 5th times 9 u to the 4th.
00:59
We can multiply the negative 8 and the 9 together and that gives us negative 72.
01:07
You can also combine the u to the 5th and the u to the 4th, because when you have two variables of the same base, multiply together, you can add their exponents.
01:17
So u to the 5th and u the 4th would become u to the 9th because 5 plus 4 is 9.
01:24
Next, let's move here.
01:25
We're going to do the same exact thing...