If `x=a+b+c`, `y=aalpha+betab+c` and `z=abeta+balpha+c` , where `alpha` and `beta` are the complex cube roots of unity, then xyz=

If `x=a+b+c`, `y=aalpha+betab+c` and `z=abeta+balpha+c` , where `alpha

1.	If `x=a+b+c`, `y=aalpha+betab+c` and `z=abeta+balpha+c` , where `alpha` and `beta` are the complex cube roots of unity, then xyz=
Answer» `(a+b+c)(a+wb+w^2c)(a+w^2b+wc)=a^3+b^3+c^3-3abc` `w and w^2` are roots of unity. option c is correct.

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If `x=a+b+c`, `y=aalpha+betab+c` and `z=abeta+balpha+c` , where `alpha` and `beta` are the complex cube roots of unity, then xyz=

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