`(2-omega+omega^(2))^(2)`

If omega is the imaginary cube root of unity, then what is (2-omega+2omega^(2))^(27) equal to ?

1,omega,omega^(2) are the cube roots of unity then (2-omega)(2-omega^(2))(2-omega^(13))(2-omega^(17))

If,omega,omega'2be the imaginary cube roots of unity,then prove that (2-omega)(2-omega^(2))(2-omega^(10))(2-omega^(11))=49

(a+b)^(2)+(a omega+b omega^(2))^(2)+(a omega^(2)+b omega)^(2)=

(1-omega+omega^(2))^(2)+(1+omega-omega^(2))^(2)=-4

If omega is complex cube root of unity then (3+5 omega+3 omega^(2))^(2)+(3+3 omega+5 omega^(2))^(2) is equal to

If omega is complex cube root of unity then (3+5 omega+3 omega^(2))^(2)+(3+3 omega+5 omega^(2))^(2) is equal to

(2-omega) (2-omega ^ (2)) (2-omega ^ (10)) (2-omega ^ (11)) = 49

What is the value of |(1,omega,2 omega^(2)),(2,2omega^(2),4 omega^(3)),(3,3 omega^(3),6 omega^(4))| , where omega is the cube root of the unity ?