00:01
Being asked to factor the given binomial by using either the summer difference formulas for tubes.
00:05
Well, in this case, because of subtraction, we'll use the difference formula, which says if we're subtracting a -quib by b -cube, it will factor to the binomial a -minus b, times the trinomial a -squared, plus a -b, plus b -squared.
00:22
So we just have to identify a and b.
00:25
To do that, we're going to rewrite both of our terms as a monomial that needs to get cubed.
00:30
So we start with the first term.
00:32
We have to think of what monomial when you cube it would give you 125x to the third.
00:38
Well, that would be 5x.
00:39
So we'll rewrite the first term as 5x being cubed.
00:43
Same idea for the second term.
00:45
So what monomial when cubed is 64y cubed? well, that would be 4y...