यदि `omega` इकाई का काल्पनिक घनमूल है तब, `(1+omega+omega^(2))^(7)` बराबर है:

(1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

If 1 , omega , omega^(2) are the cube roots of unity prove that (1 - omega + omega^(2))^(6) + ( 1 - omega ^(2) + omega)^(6) = 128 = (1 - omega + omega^(2))^(7) + ( 1 + omega - omega^(2))^(7)

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If 1 , omega + omega^(2) are the cube roots of unity prove that (i) (1 - omega + omega^(2))^(6) + (1 - omega^(2) + omega)^(6) = 128 = ( 1 - omega + omega^(2))^(7) + ( 1 + omega - omega^(2))^(7) (ii) ( a+ b) ( aomega+b omega^(2))( a omega^(2) + b omega) = a^(3) + b^(3) (iii) x^(2) + 4x + 7 = 0 " where " x = omega - omega^(2) - 2 .

If omega is an imaginary cube root of unity,then (1+omega-omega^(2))^(7) is equal to 128 omega(b)-128 omega128 omega^(2)(d)-128 omega^(2)

If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^(2), 1),(omega^(2), omega, 1)| =

If omega is an imaginary cube root of unity, then (1+omega-omega^(2))^(7) equals

If omega is an imaginary cube root of unity, then (1+omega+omega^(2))^(7) equals :

If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(7)=