Left-hand side is $2(x^3 + y^3 + z^3 - 3xyz) = 2(x+y+z)(x+\omega y +\omega^2 z)(x + \omega^2 y + \omega z)$ where $\omega = e^{2\pi i/3}$.

Assassino9931 wrote: Left-hand side is $2(x^3 + y^3 + z^3 - 3xyz) = 2(x+y+z)(x+\omega y +\omega^2 z)(x + \omega^2 y + \omega z)$ where $\omega = e^{2\pi i/3}$. beautiful!