Evaluate :
`( 1 + w ) ( 1 - w^2 + w ) + w^2`

Evaluate : ( 1 - 3w + w^2 ) ( 1 + w - 3w^2 )

Show that : ( 1 + w - w^2 ) ( w + w^2 - 1 ) ( w^2 + 1 - w ) = -8

Evaluate: | (1, 1, 1), (1, omega^2, omega), (1, omega, omega^2)| (where omega is an imaginary cube root unity).

(1-w^2+w^4)(1+w^2-w^4)

If w is the imaginary cube root of unity evaluate |(1,w,w^2),(w,w^2,1),(w^2,1,w)|

If1,w,w^(2) be three cube roots of 1, show that: (1+w-w^(2))(1-w+w^(2))=4 and (3+w+3w^(2))^(6)=64