For each pair of real numbers $a \ne b$, define the operation $\star$ as\[ (a \star b) = \frac{a + b}{a - b}. \]What is the value of $((1 \star 2) \star 3)$?
In for the gruelling run for step by step....
for \(1 \star 2\), we can list it as
\(\frac{1+2}{1-2}=\frac{3}{-1}=-3\)
and for \(-3 \star 3\) we can write it as:
\(\frac{0}{-6}\)
or, just \(\fbox{0}\)