\[(7a + 2b)^{2} - (3a - b)(4a + 5b) =\]
\[= 49a^{2} + 28ab + 4b^{2} - 12a^{2} - 15ab +\]
\[+ 4ab + 5b^{2} = 37a^{2} + 17ab + 9b^{2}.\ \]