\[9b^{2} - (a - 3b)^{2} =\]
\[= 9b^{2} - \left( a^{2} - 6ab + 9b^{2} \right) =\]
\[= 9b^{2} - a^{2} + 6ab - 9b^{2} =\]
\[= - a^{2} + 6ab\text{.\ }\]