00:01
We're being asked to factor the given binomial.
00:03
Well, this is a sum of two cubes problem, since both k to the third and 1 ,000 are perfect cubes.
00:08
So remember, our general form is x to the third plus y to the third, factors to x plus y, times the quantity of x squared minus x times y plus y squared.
00:20
So we're going to first write our problem in this form.
00:23
Well, our first term, k to the third, is all set.
00:26
But then we have to rewrite 1 ,000 as a number to the third power.
00:30
Well, that would be 10 to the 3rd...