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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:
(i) `a**b=a-b ` (ii) `a**b=a^2+b^2`
Find which of the binary operations are commutative and which are associative

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To solve the problem, we need to analyze the two binary operations defined on the set of rational numbers \( Q \): 1. **Operation 1**: \( a \star b = a - b \) 2. **Operation 2**: \( a \star b = a^2 + b^2 \) We will check if each operation is commutative and associative. ### Step 1: Check Commutativity for Operation 1 ...
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