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Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3. Choose the correct answer.

(A) Is ∗ both associative and commutative?

(B) Is ∗ commutative but not associative?

(C) Is ∗ associative but not commutative?

(D) Is ∗ neither commutative nor associative?

Justify your choice.

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