If omegan = cos(frac{2pi}{n})+sin(frac{2...

If `omega_n = cos(frac{2pi}{n})+sin(frac{2pi}{n})`, `i^2 = -1`, then `(x+y(omega_3)+z(omega_3)^2)(x+y(omega_3)^2+z(omega_3))` is equal to

A

0

B

`x^2+y^2+z^2`

C

`x^2+y^2+z^2-yz-zx-xy`

D

`x^2+y^2+z^2+yz+zx+xy`

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