y^((11)" Given that "1,omega,omega^(2)" are cube roots "(1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5)=32)

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

Given that 1, omega, omega^(2) are cube roots of unity. Show that (1- omega + omega^(2))^(5) + (1 + omega - omega^(2))^(5)= 32

If omega is a cube root of unity (1-2 omega+omega^(2))^(6)=

If omega is an imainary cube root of unity,then show that (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5)=32

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