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  3. let a = z and let a, b ∈ a. prove if the foll

Let A = Z and let a, b ∈ A. Prove if the following binary operations...

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Advance Math

Let A = Z and let a, b ∈ A. Prove if the following binaryoperations are (i) commutative, (2) if they are associative and (3)if they have an identity (if the operations has an identity, givethe identity or show that the operation has no identity).

(a) (3 points) f(a, b) = a + b + 1

(b) (3 points) f(a, b) = a(b + 1)

(c) (3 points) f(a, b) = x2 + xy + y2

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