`(1-w+w^2)^5`

If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 + w-w^(2)) is _______

If w is an imaginary cube root of unity then prove that (1-w)(1-w^2)(1-w^4)(1-w^5)=9

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

Let w be the 7^(th) root of unity then log_(3)|1+w+w^(2)+w^(3)+w^(4)+w^(5)-(8)/(w)|=

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

(1-omega+(omega)^2)^5+(1+omega-(omega)^2)^5 =

If 1, omega, omega^2 be the cube roots of unity, then the value of (1 - omega + omega^2)^(5) + (1 + omega - omega^2)^5 is :