If A= _ n=1 ^ 1 (3+(-1)^n)^n and B= _ n=1 ^ (-1)^n (3+(-1)^n)^n , then AB is equal to

JEE Main Mathematics question

If and , then is equal to

Answer: (C)

For odd the base is and for even it is , so \sum_{n odd}$+_{n\text{

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Question ID VK-022158