\[\left( 3\sqrt{7} - 2\sqrt{3} \right)^{2} =\]
\[= 9 \cdot 7 - 12\sqrt{21} + 4 \cdot 3 =\]
\[= 63 - 12\sqrt{21} + 12 =\]
\[= 75 - 12\sqrt{21}\ \]