If `omega` is a non-real complex cube root of unity and `(5+3omega^2-5omega)^(4n+3)+(5omega+3-5omega^2)^(4n+3)+(5omega^2+3omega-5)^(4n+3)=0,` then possible value of `n` is

Let omega ne1 be a complex cube root of unity if (3-3omega+2omega^2)^(4n+3)+(2+3omega-3omega^2)^(4n+3)+(-3+2omega+3omega^2)^(4n+3)=0 then possible value(s) of n is (are)

If omega is the complex cube root of unity, then find (1-3omega+omega^2)^5

If omega is a complex cube root of unity, then (2+5omega+2(omega)^2)^6 =

Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2))^(4n+3) + (2+3omega-3omega^(2))^(4n+3)+(-3+2omega+3omega^(2))^(4n+3)=0 , then the set of possible value(s) of n is are

Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2))^(4n+3) + (2+3omega-3omega^(2))^(4n+3)+(-3+2omega+3omega^(2))^(4n+3)=0 , then the set of possible value(s) of n is are

Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2))^(4n+3) + (2+3omega-3omega^(2))^(4n+3)+(-3+2omega+3omega^(2))^(4n+3)=0 , then the set of possible value(s) of n is are

Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2))^(4n+3) + (2+3omega-3omega^(2))^(4n+3)+(-3+2omega+2omega^(2))^(4n+3)=0 , then the set of possible value(s) of n is are

If omega is a complex cube root of unity, show that (3+3 omega+5 omega^2)^6 - (2+6omega+2 omega^2)^3 =0

If omega is the complex cube root of unity, then find omega^2+omega^3+omega^4 .

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