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 out all the parentheses, but you actually don't.
00:08
We're going to consider this first product, the first term, and this second product, the second term.
00:13
So we'll begin by factoring out the greatest common factor between the monomials, which is simply just x to the third.
00:20
Now, if you notice, both contain the binomial x minus seven.
00:24
So we'll treat this just like a bit or a variable.
00:26
We take out the one with the smallest amount, which in this case is to the second power.
00:30
So we'll factor out x minus 7 squared.
00:33
Perfect.
00:34
Now, we'll divide both terms by our greatest common factor.
00:38
Well, 3x to the 4 divided by x to the 3rd is 3x.
00:42
And we had x minus 7 squared, but we factored that out.
00:46
So essentially that term cancels.
00:48
Now for the second term, 4x to the 3rd divided by x to the 3rd is 4...