Answer
$x^2+6x+8$
Work Step by Step
Using the Distributive Property and then combining similar terms, the given expression, $
(x+4)(x+2)
,$ is equivalent to
\begin{array}{l}\require{cancel}
x(x)+x(2)+4(x)+4(2)
\\\\=
x^2+2x+4x+8
\\\\=
x^2+6x+8
.\end{array}