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Discuss the commutativity and associativity of binary operation '*' defined on A = Q - {1} by the rule a * b = a - b + ab

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Discuss the commutativity and associativity of binary operation '*' defined on A = Q - {1} by the rule a * b = a - b + ab for all a, b ∈ A. Also find the identity element of * in A and hence find the invertible element of A.

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Inverse element does not exist.

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