If `w` is cube root of unity then find `(1-w+w^2)^5 +( 1+w-w^2)^5`

If omega is a cube root of unity, then 1+ omega^(2)= …..

If omega is a cube root of unity, then omega^(3) = ……

If omega is a cube root of unity, then 1+omega = …..

If omega!=1 is a cube root of unity, then find the value of |[1+2omega^100+omega^200,omega^2,1],[1,1+omega^100+2omega^200,omega],[omega,omega^2,2+omega^100+omega^200]|

If omega is a complex cube root of unity, then ((1+i)^(2n)-(1-i)^(2n))/((1+omega^(4)-omega^(2))(1-omega^(4)+omega^(4)) is equal to

If w is a complex cube root of unity then show that ( 2 − w ) ( 2 − w^2 ) ( 2 − w^10 ) ( 2 − w^11 ) = 49 ?

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity, then omega + omega^(2)= …..

If omega is a cube root of unity, then find the value of the following: (1-omega)(1-omega^2)(1-omega^4)(1-omega^8)

If omega is a cube root of unity , then |(x+1 , omega , omega^2),(omega , x+omega^2, 1),(omega^2 , 1, x+omega)| =