If omega is a non-real cube root of unit...

If `omega` is a non-real cube root of unity, then the value of `(1-omega+omega^2)^5+(1+omega-omega^2)^5` is

A

16

B

32

C

48

D

`-32`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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 :

If i=sqrt(-1) and omega is a non-real cube root of unity,then the value of omega-omega^(2)quad 1+iquad omega^(2) is

If omega is a cube root of unity,then find the value of the following: (1+omega-omega^(2))(1-omega+omega^(2))

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

If omega is an imaginary cube root of unity, then the value of |(1,omega^(2),1-omega^(4)),(omega,1,1+omega^(5)),(1,omega,omega^(2))| is

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