Simplify the absolute value expression, and then use the order of operations: $\displaystyle{{\left({2}-{8}\right)}}^{{2}}-{\left|{2}-{8}\right|}={{\left({2}-{8}\right)}}^{{2}}-{\left|-{6}\right|}={{\left({2}-{8}\right)}}^{{2}}-{6}={{\left(-{6}\right)}}^{{2}}-{6}={36}-{6}={30}\usepackage{cmbright}\Huge\$