[ Answer ]
[tex]\boxed{5x^{2} \ + \ 13x \ + \ 27}[/tex]
[ Explanation ]
--------------------------------------
5(x + 3)(x + 2) - 3(4x + 1)
[tex]5x^{2}[/tex] + 25x + 30 - 3(4x + 1)
[tex]5x^{2}[/tex] + 25x + 30 - 12x - 3
= [tex]5x^{2}[/tex] + 13x + 27
[tex]\boxed{[] \ Eclipsed \ []}[/tex]