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In this video, we're looking at finding equivalent expressions that are factored.
00:07
So here we want to look at, we have four different expressions, and we want to figure out which one of these is the same as x squared minus y squared.
00:24
So you could just factor each of these four out and see what happens.
00:32
However, there's a faster, more efficient way to do it.
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So the first thing we can look at is notice the different exponents we have here.
00:40
Both of them are to the second power.
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So if we look at this first expression, if we just look at multiplying the x's, we would end up with a first term of x cubed.
00:54
So we can already look and say that's not the same.
00:59
And then we can do the same thing at the bottom here.
01:02
X times x squared would give us an x cubed.
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So we know that that's wrong.
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So now we have two options left.
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And we can factor these out.
01:17
So we would have x squared plus 2 xy plus y squared...