Question:medium

If $\omega$ is a complex cube root of unity, then $(1 - \omega + \omega^2)^5 + (1 + \omega - \omega^2)^5 =$

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Always look to substitute $1 + \omega = -\omega^2$ and $1 + \omega^2 = -\omega$ when working with powers of complex cube roots of unity.
Updated On: May 31, 2026
  • $32$
  • $-32$
  • $64$
  • $-64$
Show Solution

The Correct Option is A

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