# Math Help - How to derive sum of cubes formula?

1. ## How to derive sum of cubes formula?

How do you derive:

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

Thanks!

How do you derive:

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

Thanks!
It is obvious that

$A\ =\ -B$
is a root of

$A^3\ +\ B^3$
then synthetic division division of

$A^3\ +\ B^3$
by

$A\ +\ B$
will give the second factor on the right.

Alternativly you could just multiply out

$(A+B)(A^2-AB+B^2)$
to get

$A^3\ +\ B^3$
RonL