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

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

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

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

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

Let omega is an imaginary cube root of unity then the value of 2(1+omega)(1+omega^(2))+ 3(2 omega+1)(2 omega^(2)+1)+... +(n+1)(n omega+1)(n omega^(2)+1) is

If omega=-(1)/(2)+i (sqrt(3))/(2) , the value of [[1, omega, omega^(2) ],[ omega, omega^(2), 1],[ omega^(2),1, omega]] is