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

If omega is a complex cube root of unity, show that (a+b)^2 + (a omega+b omega^2)^2 +(a omega^2 +b omega)^2 =6ab

If omega is a complex cube root of unity, then show that: (a + b) + (aomega + bomega^2) + (aomega^2 + bomega) = 0

If omega is a complex cube root of unity, then show that: (a + b)^2 + (aomega + bomega^2)^2 + (aomega^2 + bomega)^2 = 6ab

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

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, show that (1+omega-omega^2)^6 = 64

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, show that frac{a+b omega+c omega^2}{c+a omega+b omega^2} = omega^2