If `omega` is a complex cube root of unity, show that `(1+omega)^3`- `(1+omega^2)^3` =0

If omega is a complex cube root of unity, then show that: (1 + omega)^3 - (1 + omega^2)^3 = 0

If omega is a complex cube root of unity, show that (2- omega )(2- omega^2 ) = 7

If omega is a complex cube root of unity, then show that: (1 + omega - omega^2)^6 = 64

If omega is a complex cube root of unity, then show that: (2 - omega) (2 - omega^2) = 7

If omega is a complex cube root of unity, then show that: (2 + omega + omega^2)^3 - (1 - 3omega + omega^2)^3 = 65

If omega is a complex cube root of unity, show that (1+omega-omega^2)^6 = 64

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

If omega is a complex cube root of unity, then show that: (3 + 3omega + 5omega^2)^6 - (2 + 6omega + 2omega^2)^3 = 0

If omega is a complex cube root of unity, then (1-omega+(omega)^2)^3 =

If omega is a complex cube root of unity, show that (2+omega+omega^2)^3 - (1-3omega+omega^2)^3 =65