If 1, `omega` and `omega^(2)` are the cube roots of unity evaluate `(1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16))`.

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 1, omega, omega^(2) are three cube roots of unity, prove that (1- omega- omega^(2))^(6)= 64

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

If 1, omega and omega^(2) are the cube roots of unity, prove that (a+b omega+c omega^(2))/(c+a omega+b omega^(2))=omega^(2)

If 1, omega, omega^(2) are three cube roots of unity, prove that (1+ omega- omega^(2))^(3)= (1- omega + omega^(2))^(3)= -8

If 1, omega, omega^(2) are three cube roots of unity, prove that omega^(28) + omega^(29) + 1= 0

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

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

If 1 , omega, omega^(2) are cube roots of unity then the value of (5+2omega +5omega^(2))^(3) is