If `omega` is a cube root of unity, then `(1+omega)^3-(1+omega^2)^3=`

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)

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

If omega is a cube root of unity, prove that (1+omega-omega^2)^3-(1-omega+omega^2)^3=0

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

If omega is a non-real cube root of unity, then (1+2omega+3omega^2)/(2+3omega+omega^2)+(2+3omega+omega^2)/(3+omega+2omega^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

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!=1) is a cube root of unity then omega^(5)+omega^(4)+1 is