Difference of 2 Squares & Cubes


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Posted by Rob on September 23, 2002 at 14:41:01:

This is dumb and I Was hoping someone might be able to help me out here.

Our Prof gave us this question, telling is there were 2 different answers to it. I can get one, that is easy. But I am stumped on the other.

Here is is.

Factor this as the difference of 2 Cubes & Squares.

X^6 - Y^6

He brokw it down this way

(x^3)^2 - (y^3)^2 - this answer is below, I think.

and

(X^2)^3 - (y^2)^3

The Cubes answer is this

(x-y) (x^2 + xy + y^2)
(x+y) (x^2 - xy + y^2)

Any help pointing me in the right direction would be helpful. I know it is probably right under my nose.

Thanks
Rob


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