$$x^{2}-2xy+y^{2}; x^{2}+2xy+y^{2}$$
$\left(x^{2}-y^{2}\right)^{2}$
$$\left(x-y\right)^{2}\left(x+y\right)^{2}$$
$$x^{4}-2x^{2}y^{2}+y^{4}$$
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$\left(x-y\right)^{2},\ \left(x+y\right)^{2}$