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

Correct Answer is : a3+b3+c3−3abc

CUSAT 2018 BTech Solved Paper

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If x=a+b+c,y=aα+bβ+c and z=aβ+bα+c where α,β are complex cube roots of unity and a,b,c are real, then xyz is equal to

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