Answer
$12x^3-2x^2+13x+5$
Work Step by Step
Using the Distributive Property, the expression, $
(4x^2-2x+5)(3x+1)
$, is equivalent to
\begin{array}{l}
4x^2(3x)+4x^2(1)-2x(3x)-2x(1)+5(3x)+5(1)
\\\\=
12x^3+4x^2-6x^2-2x+15x+5
\\\\=
12x^3-2x^2+13x+5
.\end{array}