If `omega` is a complex cube roots of unity then show that following. `(1 + omega - omega^2) ( 1 - omega + omega^2)` = 4

If omega is a complex cube roots of unity then show that following. (3 + 5omega + 3omega^2)^6 = 64

If omega is a complex cube roots of unity then show that following. (x - y) (xomega - yomega^2) (xomega^2 - yomega) = x^3 - y^3

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, then show that: (2 + omega + omega^2)^3 - (1 - 3omega + omega^2)^3 = 65

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 find the values of: (1 - omega - omega^2)^3 + (1 - omega + omega^2)^3

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 show that: (2 - omega) (2 - omega^2) = 7

If omega is a complex cube root of unity, then show that: (a + bomega + comega^2) / (c + aomega + bomega^2) = omega^2

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