\[(5a - 4)(3a + 4) - 4a(3,5a + 2) =\]
\[= 15a^{2} + 20a - 12a - 16 - \left( 14a^{2} + 8a \right) =\]
\[= 15a^{2} + 8a - 16 - 14a^{2} - 8a =\]
\[= a^{2} - 16 = (a - 4)(a + 4).\]