Find the value of ` ( 1 + omega - omega^2 )^6`

If 1, omega, omega^2 be the cube roots of unity, then the value of (1 - omega + omega^2)^(5) + (1 + omega - omega^2)^5 is :

Find the value of ( 1 + w^2 )^3

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.

If omega = "cos"(pi)/(n) + "i sin" (pi)/(n) , then value of 1 + omega + omega^(2) +...+omega^(n-1) is

find the value of (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))