00:01
In this problem, we have the quantity of x plus y minus three all being squared.
00:05
And there's a lot of different ways to simplify this.
00:08
Well, the first thing is, one way that i'm going to look at it is we don't necessarily need that inside parentheses here.
00:13
We really just have the trinomial x plus y minus three being squared.
00:18
Remember, to square something means to multiply it by itself.
00:21
So we have x plus y minus three times x plus y minus three.
00:26
So now we're just multiplying two trinomials.
00:28
To do this, we need to distribute each term in the first trinomial to each term in the second.
00:34
So we'll start with the x.
00:36
Well, x times x is x squared, x times y is positive xy, and x times negative 3 is negative 3x.
00:46
Then we'll distribute the y.
00:48
Y times x is positive xy, y times y is positive y squared, and y times negative 3 is negative 3 y.
00:57
Lastly, we'll distribute the negative 3...