If `1,omega,omega^2` are the cube roots of unity `(1+omega) (1 +omega^2) (1 +omega^4) (1 +omega^5)........`to `2n ` factors

If 1,omega,(omega)^2 are the cube roots of unity, then (omega)^2(1+omega)^3-(1+(omega)^2)omega=

If 1,omega,omega^(2) are the cube roots of unity then : (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8)) is

If 1, omega, omega ^(2) are the cube roots of unity , then w^2=

If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omega^(2))(1+omega-omega^(2)) is

If 1, omega , omega^(2) are the cube roots of unity then (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8)) is equal to

If 1,omega, omega^2 are the three cube roots of unity, prove that (1+omega^2)^4=omega .

If 1, omega, omega^(2) are three cube roots of unity, prove that (1 + omega^(2))^(4)= omega

If 1, omega, omega^(2) are three cube roots of unity, prove that (1- omega) (1- omega^(2))= 3

If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))=

If 1, omega, omega^(2) are the cube roots of unity, prove that (1 + omega)^(3)-(1 + omega^(2))^(3)=0