If omega is a complex cube root of unity...

If `omega` is a complex cube root of unity, then `((1+i)^(2n)-(1-i)^(2n))/((1+omega^(4)-omega^(2))(1-omega^(4)+omega^(4))` is equal to

A

0 if n is even

B

0 for all ` n in Z`

C

`2^(n-1) cdot I ` for all `n in N`

D

None of these

Verified by Experts

The correct Answer is:

A

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