If 1 , omega , omega^(2) are the cube ro...

If `1 , omega , omega^(2)` are the cube roots of unity, then prove that
`( x + y + z) ( x + y omega + z omega^(2)) ( x + yomega^(2) + z omega) = x^(3) + y^(3) + z^(3) - 3xyz`

A

`x^(3)+y^(3)+z^(3)+3xyz`

B

`x^(3)-y^(3)-z^(3)-3xyz`

C

`x^(2)+y^(3)+z^(3)`

D

none

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