Answer
$49a^2b^2-9c^2$
Work Step by Step
Using the special product of the sum and difference of like terms, $(a+b)(a-b)=a^2-b^2$, the given expression is equivalent to
\begin{align*}
&
(7ab+3c)(7ab-3c)
\\\\&
(7ab)^2-(3c)^2
\\\\&
49a^2b^2-9c^2
.\end{align*}