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, then 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) =

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

Select and write the correct answer from the given alternatives in each of the following: If alpha , beta are non-real cube roots of unity, then (1 + alpha) (1 + beta) (1 + alpha^4) (1 + beta^4) (1 + alpha^4) (1 + beta^4) …. Upto 2n factors is equal to

If alpha and beta are imaginary cube roots of unity, then the value of (alpha)^4 + (beta)^28 + frac{1}{(alpha)(beta)} is