Ответ:
\[\left( 5a^{2} - 7b \right) \cdot ab - 3ab\left( a^{2} - 2b^{2} \right) =\]
\[= 5a^{3}b - 7ab^{2} - 3a^{3}b + 6ab^{3} =\]
\[= 2a^{3}b + 6ab^{3} - 7ab^{2}.\]
\[\left( 5a^{2} - 7b \right) \cdot ab - 3ab\left( a^{2} - 2b^{2} \right) =\]
\[= 5a^{3}b - 7ab^{2} - 3a^{3}b + 6ab^{3} =\]
\[= 2a^{3}b + 6ab^{3} - 7ab^{2}.\]