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

If ` 1 , omega , omega^(2)` are the cube roots of unity prove that
`(1 - omega + omega^(2))^(6) + ( 1 - omega ^(2) + omega)^(6) = 128 = (1 - omega + omega^(2))^(7) + ( 1 + omega - omega^(2))^(7)`

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