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If w is a non real cube of unity, then (...

If `w` is a non real cube of unity, then `(a+b)(a+bw)(a+bw^2) =`

A

`a^3+b^3`

B

`a^3-b^3`

C

`a^2+b^2`

D

`a^2-b^2`

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Knowledge Check

  • If omega is a non real cube root of unity, then (a+b)(a+b omega)(a+b omega^2)=

    A
    `a^(3)+b^(3)`
    B
    `a^(3)-b^(3)`
    C
    `a^(2)+b^(2)`
    D
    `a^(2)-b^(2)`

  • If omega is a complex cube root of unity, then (a+b omega+c omega^(2))/(c+a omega+b omega^(2))+(c+a omega+b omega^(2))/(a +b omega+c omega^(2))+(b+c omega+a omega^(2))/(b+c omega+a omega^(5))=

    A
    `1`
    B
    `omega`
    C
    `omega^(2)`
    D
    `0`

  • If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi- (pi)/(6)} is

    A
    `(1)/(sqrt(2))`
    B
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