Question

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 1

`(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.