\[7a(a - b) - 3(b - a)^{2} =\]
\[= 7a^{2} - 7ab - 3\left( b^{2} - 2ab + a^{2} \right) =\]
\[= 7a^{2} - 7ab - 3b^{2} + 6ab - 3a^{2} =\]
\[= 4a^{2} - ab - 3b^{2}.\]