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