Browse Questions

# A set $S=\{x : x\in R,x\neq -2 \}$ is given.A binary operation $\ast$ on S is defined by $a \ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.Prove that $(S,\ast)$ is an abelian group.

This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com