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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 $((1 \star 2) \star 3)$?

 Jul 18, 2021
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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 \(\fbox{0}\)

 Jul 18, 2021

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