(i)If `w` is cube roots of unity then Show that, `omega^(4)+2 omega^(6)+omega^(8)=1`

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 omega is a cube root of unity, then omega^(3) = ……

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

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, show that (a + omega b+ omega^(2)c) (a + omega^(2)b+ omega c)= a^(2) + b^(2) + c^(2)- ab- bc - ca

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

Given that 1, omega, omega^(2) are cube roots of unity. Show that (1- omega + omega^(2))^(5) + (1 + omega - omega^(2))^(5)= 32

If omega is an imaginary cube root of unity, then show that (1-omega+omega^2)^5+(1+omega-omega^2)^5 =32

If 1, omega and omega^(2) are the cube roots of unity evaluate (1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16)) .