You can
put this solution on YOUR website!Your expressions have a little bit of ambiguity in them, but I think you mean:
1)
and
2)
1) if you factor
you get
(I'll leave it as an exercise for you to verify that is true - Hint: use FOIL). Since
, we can say:
2) Again, let's factor the expression under the radical. I'm not going to factor it completely, just enough to make it convenient to take the cube root.
(we can say this because we know that
)
So, we want
There are three factors of
, so we take one of them,
There are three factors of
, so we take one of them,
and there are three factors of
, so we take one of them, and put them all together:
And you can multiply
and verify that it equals
to check the answer.
Hope this helps
John
