Answer
$2x^2+23$
Work Step by Step
Using the Distributive Property, and then combining like terms, the given expression, $
7x^2+3-5(x^2-4)
,$ simplifies to
\begin{array}{l}\require{cancel}
7x^2+3-5x^2+20
\\\\=
(7x^2-5x^2)+(3+20)
\\\\=
2x^2+23
.\end{array}