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

JEE Main Mathematics question

If is a complex cube root of unity, then is equal to

Answer: (A)

The denominator: and , so the product is . The numerator: , which

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Question ID VK-013969