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If alpha,beta,gamma are the cube roots ...

If `alpha,beta,gamma` are the cube roots of p, then for any x,y,z `(x alpha + y beta + z gamma)/(x beta + y gamma + z alpha` =

A

`(1)/(2)(-1-isqrt(3)),i=sqrt(-1)`

B

`(1)/(2)(1+isqrt(3)),i=sqrt(-1)`

C

`(1)/(2)(1-isqrt(3)),i=sqrt(-1)`

D

none of these

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