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 \( a^{-1}=\left(\frac{-a}{1+a}\right) \), where \( a \in Q-\{-1\} \).

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