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Evaluate the expressions.

1. \(3 + \left( {2 - 5} \right)^2 \)
   
   
   Solution

   \[\begin{align}
    3 + \left( {2 - 5} \right)^2 &= 3 + \left( { - 3} \right)^2  \\
     &= 3 + 9 \\
     &= 12 \\
    \end{align}\]

   
   
   
   
2. \(\frac{{2 + 6^2 }}{{18 + 1}}\)
   
   
   Solution

   \[\begin{align}
    \frac{{2 + 6^2 }}{{18 + 1}} &= \frac{{2 + 36}}{{19}} \\
     &= \frac{{38}}{{19}} \\
     &= 2 \\
    \end{align}\]