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

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: omega + 1/omega

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 complex cube root of unity, then find the values of: omega^2 + omega^3 + omega^4

If omega is a complex cube root of unity, then the value of ( omega^99 + omega^100 + omega^101 ) is

If omega is a complex cube root of unity, then (1+omega^2)^4=

If omega is the complex cube of unity, find the value of (1+ omega^2)^3