यदि 1 का तीन घनमूल 1, omega , omega ^...

यदि 1 का तीन घनमूल ` 1, omega , omega ^ 2 ` हो तो दिखाइए कि
` ( 1 + omega - omega ^ 2 ) ( 1 - omega + omega ^ 2 ) = 4 `

Similar Questions

Explore conceptually related problems

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

(2 + omega + omega ^ (2)) ^ (3) + (1 + omega-omega ^ (2)) ^ (3) = (1-3 omega + omega ^ (2)) ^ (4) = 1

If omega is a complex cube roots of unity then show that following. (1 + omega - omega^2) ( 1 - omega + omega^2) = 4

If 1, omega , omega^(2) are the cube roots of unity then (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8)) is equal to

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

(1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega^(7)) (1 - omega^(8)) =

If omega^3 = 1 and omega != 1, then (1+ omega )(1+ omega^2 )(1+ omega^4 )(1+ omega^8 )