If `alpha and beta` are the complex cube roots of unity, then what is the vlaue of `(1+alpha)(1+beta)(1+alpha^(2))(1+beta^(2))`?

Similar Questions

Explore conceptually related problems

If alpha and beta are the complex cube roots of unity, then prove that (1 + alpha) (1 + beta) (1 + alpha)^(2) (1+ beta)^(2)=1

If alpha and beta are the complex cube roots of unity, then prove that (1 - alpha) (1 - beta) (1 - alpha^2) (1 - beta^2) = 9 .

If alpha and beta are the complex cube roots of unity, then show that alpha^2 + beta^2 + alphabeta = 0

If alpha and beta are the complex cube roots of unity, then show that alpha^4 + beta^4 + alpha^-1beta^-1 = 0

If alpha and beta are complex cube roots of unity. Prove that (1- alpha) ( 1- beta) (1- alpha ^(2)) (1 - beta ^(2)) = 9

If alpha and beta are the complex cube roots of unity, show that alpha^4+beta^4 + alpha^-1 beta^-1 = 0.

If alpha and beta are complex cube roots of unity, show that alpha^4 + beta^4 + alpha^(-1) beta^(-1) =0

If alpha and beta are complex cube roots of unity, prove that (1- alpha )(1- beta )(1- alpha^2 (1- beta^2 ) = 9

If alpha and beta are complex cube roots of unity, then (1-alpha)(1-beta)(1-(alpha)^2)(1-(beta)^2) =