Jenna question
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When looking at this problem, we know that the cubes are the
same, so we're going to be able to multiply the insides X -, 1,
which is a binomial times X ^2 + X + 1, which is a trinomial.
Now when we actually multiply those together, right now it's a
monomial because it's one thing times another thing.
But that's one of our formulas, and if we didn't remember it, we
could actually go ahead and distribute and we'd get X ^3 + X
^2 + X -, X ^2 -, X -, 1, and the X squareds in the X's would
cancel and we get the cube root of X ^3 -, 1.
Now, that's not a monomial, so that's actually the farthest we
could go.
If it had been the cube root of X -1 ^3, then we could take the
cube root in the cube and get X - 1.
But it's not.
It's an X ^3 - 1, not a monomial.
Right now it's 2 terms.
If it had been a single term, then we could take the cube root
of the cube X - 1 ^3.
Remember, means X - 1 * X - 1 * X - 1, which would give us X ^3
minus three X ^2 + 3 X -1 if I factored it all the way out.