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Let * be the binary operation defined on Q. Find which of the following binary operations are commutative a * b = (a – b)2 ∀ a, b ∈ Q

 Let * be the binary operation defined on Q. Find which of the following binary operations are commutative 
a * b = (a – b)2 ∀ a, b ∈ Q

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5962 Points
one year ago
Dear Student

a * b = (a - b) ,∀a, b∈Q

b * a = (b–a)^2
(a-b)^2=(b-a)^2
Hence, * is commutative.

Thanks

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