If w is a complex cube root of unity, then show that
`(1-w) (1- w ^(2)) (1 - w ^(4)) ( 1 - w ^(5)) = 9`

Answer

`= [ 1 - (-1 ) + 1 ] ^(2) = (1 + 1 + 1) ^(2) = (3) ^(2) = 9`