Answer
$F(a+h)=a^2+2ah+h^2+3a+3h+2$
Work Step by Step
Replacing $x$ with $a$ in the given function, $
F(x)=x^2+3x+2
$, then $F(a+h)$ is equal to
\begin{array}{l}
(a+h)^2+3(a+h)+2
\\\\=
a^2+2ah+h^2+3a+3h+2
\end{array}
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