If `omega` is a complex number such that `omega ^(3) =1,` then the value of `(1+ omega -omega^(2))^(4)+(1+ omega ^(2)-omega )^(4)` is-

find the value of (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))

If omega is a complex cube root of unity, then find the values of: (1 - omega - omega^2)^3 + (1 - omega + omega^2)^3

If omega is a complex cube root of unity, then find the values of: (1 + omega) (1 + omega^2) (1 + omega^4) (1 + omega^8)

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

(1-omega+omega^(2))(1+omega-omega^(2))=4

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.