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 ne 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)):}|=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 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 find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity then the value of |(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)| is -

If omega is an imaginary cube root of unity then the value of [[1+omega , omega^2 , -omega],[1+omega^2 , omega , -omega^2 ],[omega^2+omega , omega , -omega^2 ]] =

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 an imaginary cube root of unity, then the value of the determinant /_\ = |[1+omega,omega^2,-omega],[1+omega^2,omega,-omega^(2)],[omega+omega^2,omega,-omega^(2)]| is

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