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Let ** be a binary operation on the set ...

Let `**` be a binary operation on the set Q of rational numbers as follows
`a**b=a^2+b^2`.
Is the binary operation commutative and associative ?

Text Solution

Verified by Experts

`a**b=a^2+b^2`
`=b^2+a^2=b**a` `a,b in Q`
`therefore **` is commutative
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