Question

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.

Answer 1

my ans. is [A] * both associative and commutative

Answer 2

(A) ∗ is both associative and commutative.