Answer
$8a^3+8a^2+a-4$
Work Step by Step
Removing the grouping symbols, then the given expression, $
(4a^2+a-7)-(3-8a^3-4a^2)
$, is equivalent to
\begin{array}{l}
4a^2+a-7+3+8a^3+4a^2
.\end{array}
By combining like terms, then
\begin{array}{l}
8a^3+(4a^2+4a^2)+a+(-7+3)
\\\\=
8a^3+8a^2+a-4
.\end{array}