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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 5964 Points
11 months ago
Dear Student

a * b = a + ab

b * a = b + ab
So clearly, a + ab ≠ b + ab
Therefore, * is not commutative.

Thanks

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