$$x^{2}-y^{2}-6y-9$$
$\left(x-y-3\right)\left(x+y+3\right)$
$$x^{2}-\left(y^{2}+6y+9\right)$$
$$x^{2}-\left(3+y\right)^{2}$$
$$\left(x-3-y\right)\left(x+3+y\right)$$
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$-\left(y+3\right)^{2}+x^{2}$