$$a^{2}-[2b^{2}-\{3a^{2}-2(a^{2}-b^{2}-\overline{2a^{2}-3b^{2})\}}]$$
$6\left(a^{2}+b^{2}\right)$
$$a^{2}-\left(2b^{2}-\left(3a^{2}-2\left(-a^{2}-b^{2}-3b^{2}\right)\right)\right)$$
$$a^{2}-\left(2b^{2}-\left(3a^{2}-2\left(-a^{2}-4b^{2}\right)\right)\right)$$
$$a^{2}-\left(2b^{2}-\left(3a^{2}+2a^{2}+8b^{2}\right)\right)$$
$$a^{2}-\left(2b^{2}-\left(5a^{2}+8b^{2}\right)\right)$$
$$a^{2}-\left(2b^{2}-5a^{2}-8b^{2}\right)$$
$$a^{2}-\left(-6b^{2}-5a^{2}\right)$$
$$a^{2}+6b^{2}+5a^{2}$$
$$6a^{2}+6b^{2}$$
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$6a^{2}+6b^{2}$
