Let \( Q \) be the set of all rational numbers. Define an operation...

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Let \( Q \) be the set of all rational numbers. Define an operation \( * \) on \( Q-\{-1\} \) by \( a * b=a+b+a b \).
\( \mathrm{P} \) Show that

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is a binary operation on \( Q-\{-1\} \),
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