If x=a+b, y = a alpha+b beta and z = a b...

If x=a+b, `y = a alpha+b beta` and `z = a beta + b alpha`, where `alpha` and `beta` are complex cube roots of unity, then xyz is equal to

A

`a^2+b^2`

B

`a^3+b^3`

C

`a^3b^3`

D

`a^3-b^3`

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The correct Answer is:

B

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