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Let * be the binary operation defined on Q. Find which of the following binary operations are commutative a * b = a + ab ∀ a, b ∈ Q

 Let * be the binary operation defined on Q. Find which of the following binary operations are commutative   
a * b = a + ab ∀ a, b ∈ Q  

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student

a * b = a + ab

b * a = b + ab
clearly it can be seen that,
a + ab ≠ b + ab
Hence , * is not commutative.

Thanks

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