$$16m^{2}-n^{2}-6n-9$$
$\left(4m-n-3\right)\left(4m+n+3\right)$
$$16m^{2}-\left(n^{2}+6n+9\right)$$
$$\left(4m\right)^{2}-\left(3+n\right)^{2}$$
$$\left(4m-3-n\right)\left(4m+3+n\right)$$
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$-\left(n+3\right)^{2}+16m^{2}$
