A binary operation \(\ast\) is defined on t..

Question 1 Report

A binary operation \(\ast\) is defined on the set of rational numbers by \(m \ast n = \frac{m^{2} - n^{2}}{2mn}, m \neq 0 ; n \neq 0\).

(a) Find \(-3 \ast 2\).

(b) Show whether or not \(\ast\) is associative.

Answer

Binary Operations

A binary operation \(\ast\) is defined on the set of rational numbers by \(m \ast n = \frac{m^{2} - n^{2}}{2mn}, m \neq 0 ; n \neq 0\). (a) Find \(-3 \ast 2...