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

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

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

If w is a complex cube root of unity, then the value of the determinant Delta = [(1,w,w^(2)),(w,w^(2),1),(w^(2),1,w)] , is

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

If w is an imaginary cube root of unity then prove that (1-w+w^2)(1-w^2+w^4)(1-w^4+w^8)....... " to " 2n "factors" =2^(2n) .