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ConceptConcept of Binary Operations

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#### Question

Show that the binary operation * on A = **R** – { – 1} defined as a*b = a + b + ab for all a, b ∈ A is commutative and associative on A. Also find the identity element of * in A and prove that every element of A is invertible.

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#### Reference Material

Solution for concept: Concept of Binary Operations. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)