How do you derive:
A^3 + B^3 = (A+B)(A^2-AB+B^2)
Thanks!
It is obvious thatOriginally Posted by undead_yogurt
$\displaystyle A\ =\ -B$is a root of
$\displaystyle A^3\ +\ B^3$then synthetic division division of
$\displaystyle A^3\ +\ B^3$by
$\displaystyle A\ +\ B$will give the second factor on the right.
Alternativly you could just multiply out
$\displaystyle (A+B)(A^2-AB+B^2)$to get
$\displaystyle A^3\ +\ B^3$RonL