$$x^{2}-2\sqrt{6}x+6$$
$2\left(x-\sqrt{6}\right)$
$$2x^{2-1}+\left(-2\sqrt{6}\right)x^{1-1}$$
$$2x^{1}+\left(-2\sqrt{6}\right)x^{1-1}$$
$$2x^{1}+\left(-2\sqrt{6}\right)x^{0}$$
$$2x+\left(-2\sqrt{6}\right)x^{0}$$
$$2x+\left(-2\sqrt{6}\right)\times 1$$
$$2x-2\sqrt{6}$$
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$\left(x-\sqrt{6}\right)^{2}$
