Solve the following: Find the value of `((1 + i)^(2n) - (1 - i)^(2n)) / ((1 + omega^4 - omega^2) (1 - omega^4 + omega^2))`

(1-omega+(omega)^2)^5+(1+omega-(omega)^2)^5 =

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: (1 + omega) (1 + omega^2) (1 + omega^4) (1 + omega^8)

If omega is the complex cube of unity, find the value of (1+ omega )(1+ omega^2 ) (1+ omega^4 )(1+ omega^8 )

If omega^3 = 1 and omega != 1, then (1+ omega )(1+ omega^2 )(1+ omega^4 )(1+ omega^8 )

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

The value of (1+2(omega)+(omega)^2)^(3n)-(1+omega+2(omega)^2)^(3n) =

Select and write the correct answer from the given alternatives in each of the following:The value of |(1,1,1),(1,omega,omega^2),(1,omega^2,omega)| is (it is given that omega=(-1+sqrt3i)/2)