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If a ** b = 4a^(2) + 6b^(2) be a binary ...

If `a ** b = 4a^(2) + 6b^(2)` be a binary operations on Q, then verify that `**` is not commutative.

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To verify that the binary operation defined by \( a ** b = 4a^2 + 6b^2 \) is not commutative, we need to check whether \( a ** b \) is equal to \( b ** a \) for all \( a, b \in \mathbb{Q} \). ### Step-by-step Solution: 1. **Define the operation**: We have the operation defined as: \[ a ** b = 4a^2 + 6b^2 ...
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