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

JEE Advanced Mathematics question

If , = nonreal cube root of unity then

is equal to

Answer: (A)

Numerator: and , so it equals . Denominator: , so it is . So the expression is

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Question ID VK-108067