00:01
We're being asked to determine if the given statement is true or false.
00:04
So we have that the binomial x plus y to the third would be equal to x to the third plus y to the third.
00:09
Well, why don't we actually multiply it out to check? well, to multiply x plus y to the third means to multiply x plus y by itself three times.
00:19
So we would have x plus y times x plus y times x plus y.
00:26
All right, so we're going to start by just multiplying the first two binomials.
00:30
To do this, you'll use the foil method.
00:33
Well, x times x, that's x squared.
00:36
X times y is positive xy.
00:40
Y times x is also positive xy, and y times y is positive y squared.
00:46
And we'll bring down that last binomial, x plus y.
00:50
Now, inside that first grouping symbol, i see we have late terms.
00:54
Xy plus xy is 2xy.
00:56
So that means we have x squared plus 2xy plus y squared, plus y squared.
01:03
And this is still getting multiplied by x plus y.
01:06
Okay, so now we need to distribute each term in the first preemphasy to each term in the second...