$$(2a-3b)^{2}-(3a-2b)^{2}$$
$5\left(b^{2}-a^{2}\right)$
$$4a^{2}-12ab+9b^{2}-\left(3a-2b\right)^{2}$$
$$4a^{2}-12ab+9b^{2}-\left(9a^{2}-12ab+4b^{2}\right)$$
$$4a^{2}-12ab+9b^{2}-9a^{2}+12ab-4b^{2}$$
$$-5a^{2}-12ab+9b^{2}+12ab-4b^{2}$$
$$-5a^{2}+9b^{2}-4b^{2}$$
$$-5a^{2}+5b^{2}$$
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$5b^{2}-5a^{2}$