Answer
$A^2B=\left[\begin{array}{c c} -6& 42&-24\\ 3& -37&22\\ -3& -42&27\end{array} \right]$
Work Step by Step
Using a graphing calculator (see attached picture), we get:
$A^2B=\left[\begin{array}{c c} -6& 42&-24\\ 3& -37&22\\ -3& -42&27\end{array} \right]$