$$(2+x+2y)^{2}-3(x^{2}-2x+1)$$
$\left(x+2y+2\right)^{2}-3\left(x-1\right)^{2}$
$$x^{2}+4xy+4x+4y^{2}+8y+4-3\left(x^{2}-2x+1\right)$$
$$x^{2}+4xy+4x+4y^{2}+8y+4-3x^{2}+6x-3$$
$$-2x^{2}+4xy+4x+4y^{2}+8y+4+6x-3$$
$$-2x^{2}+4xy+10x+4y^{2}+8y+4-3$$
$$-2x^{2}+4xy+10x+4y^{2}+8y+1$$
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$1+8y+4y^{2}+10x+4xy-2x^{2}$
