Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3  . Choose thecorrect 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?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 14E: Assume that is a binary operation on a non empty set A, and suppose that is both commutative and...
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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?

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