$$4(a-b)^{2}-(2a-2b)^{2}$$
$0$
$$4\left(a^{2}-2ab+b^{2}\right)-\left(2a-2b\right)^{2}$$
$$4a^{2}-8ab+4b^{2}-\left(2a-2b\right)^{2}$$
$$4a^{2}-8ab+4b^{2}-\left(4a^{2}-8ab+4b^{2}\right)$$
$$4a^{2}-8ab+4b^{2}-4a^{2}+8ab-4b^{2}$$
$$-8ab+4b^{2}+8ab-4b^{2}$$
$$4b^{2}-4b^{2}$$
$$0$$
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$$4\left(\left(a-b\right)^{2}-\left(a-b\right)^{2}\right)$$
