If `omega` is a cube root of unity, then find the value of the following: `(1+omega-omega^2)(1-omega+omega^2)`

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

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

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

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 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . (1 - omega) ( 1 - omega ^(2)) ( 1 - omega^(4)) ( 1 - omega^(8))

If omega is a complex cube root of unity, then find the values of: omega + 1/omega

If omega is an imaginary cube root of unity, then the value of (1+ omega- omega^(2))(1- omega + omega ^(2)) is-