$$5(x+y)+(x+y)^{2}$$
$\left(x+y\right)\left(x+y+5\right)$
$$5x+5y+\left(x+y\right)^{2}$$
$$5x+5y+x^{2}+2xy+y^{2}$$
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$x^{2}+2xy+5x+y^{2}+5y$
