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