$$4(x-y)^{2}-z^{2}$$
$\left(2x-2y\right)^{2}-z^{2}$
$$4\left(x^{2}-2xy+y^{2}\right)-z^{2}$$
$$4x^{2}-8xy+4y^{2}-z^{2}$$
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$4x^{2}-8xy+4y^{2}-z^{2}$