00:01
In this problem, we're being asked to multiply two trinomials.
00:03
To do this, we're going to use the distributed property.
00:06
So here's how it works.
00:07
We're going to take the first term in our first trinomial, which is x squared, and we're going to multiply it by our second trinomial, x squared plus x minus 2.
00:17
Then we're going to take the second term in our first trinomial, which is minus x, and also multiply it by that second trinomial, x squared plus x minus 2.
00:27
Then we're going to take the last term in the first trinomial, which is positive two, and also multiply that by our second trinomial, x squared plus x minus two.
00:38
Now we just have to go ahead and distribute.
00:41
Well, x squared times x squared is x to the 4, x squared times x is positive x to the third, and x squared times negative 2 is negative 2x squared.
00:52
Now we're going to multiply negative x times x squared, which is negative x to the third.
00:57
Then we multiply negative x times x, which is negative x squared.
01:02
Then we multiply negative x times negative 2, which is positive 2x.
01:07
And lastly, we need to multiply 2 times x squared, which is positive 2x squared.
01:12
We multiply 2 times x, which is positive 2x.
01:15
And then we multiply 2 times negative 2, which is negative 4.
01:19
Now we just have to simplify by combining our light terms...