\[(4a + 3)^{2} - (2a + 1)(4a - 3) =\]
\[= 16a^{2} + 24a + 9 - \left( 8a^{2} + 4a - 6a - 3 \right) =\]
\[= 16a^{2} + 24a + 9 - 8a^{2} + 2a + 3 =\]
\[= 8a^{2} + 26a + 12.\]