If and are the complex cube roots of unity, then ^3 + ^3 + ^ -2 ^ -2 is equal to

MHT CET 2022 Mathematics question

If and are the complex cube roots of unity, then is equal to

Answer: (C)

The complex cube roots of unity are and , so take and , where . Then and . Also , so $α^{-2}β^{-2} =

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Question ID VK-096003