\[\left( 2\sqrt{3} - 3\sqrt{2} \right)^{2} + \sqrt{24}\left( 6 - 5\sqrt{6} \right) =\]
\[= 4 \cdot 3 - 12\sqrt{6} + 9 \cdot 2 + 2\sqrt{6} \cdot 6 - 2\sqrt{6} \cdot 5\sqrt{6} =\]
\[= 12 - 12\sqrt{6} + 18 + 12\sqrt{6} - 60 =\]
\[= - 30.\]