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 - omega^2)^3 + (1 - omega + omega^2)^3

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 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: (1 + omega^2)^3

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

Select the correct answer from the given alternatives. If omega is a complex cube root of unity then the value of omega^99 + omega^100 + omega^101 is …….. .

If omega is of complex cube root of unity, then the value of [ frac{a+ b omega + c omega^2}{c+ a omega + b omega^2} + frac{a+ b omega + c omega^2}{b+ c omega + a omega^2} ] is