Let * be a binary operation on $Q–{-1}$ defined by $a*b=a+b+ab$ for all $a,b\in Q-\left\{ -1 \right\}$. Then(iii) Show that every element of $Q–{-1}$ is invertible. Also, find inverse of an arbitrary element.

Home » Let * be a binary operation on defined by for all . Then(iii) Show that every element of is invertible. Also, find inverse of an arbitrary element.

Let * be a binary operation on $Q-{-1}$ defined by $a*b=a+b+ab$ for all $a,b\in Q-\left\{ -1 \right\}$ . Then(iii) Show that every element of $Q-{-1}$ is invertible. Also, find inverse of an arbitrary element.

Let * be a binary operation on $Q-{-1}$ defined by $a*b=a+b+ab$ for all $a,b\in Q-\left\{ -1 \right\}$ . Then(iii) Show that every element of $Q-{-1}$ is invertible. Also, find inverse of an arbitrary element.

(iii) Assume $a\in Q-\left\{ -1 \right\}$ and $b\in Q-\left\{ -1 \right\}$ be the inverse of a. Then,