(v) If `w` is cube roots of unity then Prove that, `(1+w)(1+w^2)(1+w^4)(1+w^5) =1`

If omega is a cube root of unity, then 1+omega = …..

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

If omega is a cube root of unity, then omega + omega^(2)= …..

If 1, omega, omega^(2) are three cube roots of unity, prove that (1)/(1 + omega) + (1)/(1+ omega^(2))=1

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

If 1, omega, omega^(2) are three cube roots of unity, prove that (1 + omega^(2))^(4)= omega

If 1, omega, omega^(2) are three cube roots of unity, prove that (1- omega) (1- omega^(2))= 3

If 1, omega, omega^(2) are the cube roots of unity, prove that (1 + omega)^(3)-(1 + omega^(2))^(3)=0

If w is a complex cube root of unity. Show that |[1,w, w^2],[w, w^2, 1],[w^2, 1,w]|=0 .

If 1, omega, omega^2 be the three cube roots of 1, then show that: (1+omega)(1+omega^2)(1+omega^4)(1+omega^5)=1