00:01
In this problem, we're being asked to factor the given expression.
00:03
And you might think that you have to multiply all these terms out, and in fact, you don't.
00:06
We can consider this first product, one term, and we'll consider the second product a separate term.
00:12
So just like when you factor, we're going to start by factoring out the greatest common factor.
00:17
Well, two divides into both two and eight, so we'll factor that out.
00:21
Now, both terms contain the binomial x minus three.
00:24
We'll treat us just like we would variables.
00:26
We take out the smallest amount, which in this case is that first one where it's just raised to the first power.
00:33
And the same idea happens with the 4x plus sevens.
00:35
Again, we take out the one of the smallest amount, which is simply just one of the 4x plus sevens.
00:40
Perfect.
00:41
So now we'll divide both terms by our greatest common factor.
00:45
Well, 2 divided by 2 is 1, so that cancels...