How to derive sum of cubes formula?

How do you derive:

A^3 + B^3 = (A+B)(A^2-AB+B^2)


Thanks!

Quote:

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Originally Posted by undead_yogurt

How do you derive:

A^3 + B^3 = (A+B)(A^2-AB+B^2)


Thanks!

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It is obvious that

is a root of

then synthetic division division of

by

will give the second factor on the right.

Alternativly you could just multiply out

to get

RonL