If `w` id cube roots of unity then find `(2+w+w^2)^3 - (1-3w +w^2)^3`

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 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 omega + omega^(2)= …..

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

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

If w is an imaginary cube root of unity, find the value of |[1,w, w^2],[ w ,w^2 ,1],[w^2 ,1,w]| .

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)