$$2/3 { a }^{ 2 } +1/2ab+(-2 { b }^{ 2 } )+(-8/4ab)+1/3 { a }^{ 2 } +(-3 { b }^{ 2 } )$$
$-\frac{3ab}{2}+a^{2}-5b^{2}$
$$\frac{2}{3}a^{2}+\frac{1}{2}ab-2b^{2}-2ab+\frac{1}{3}a^{2}-3b^{2}$$
$$\frac{2}{3}a^{2}-\frac{3}{2}ab-2b^{2}+\frac{1}{3}a^{2}-3b^{2}$$
$$a^{2}-\frac{3}{2}ab-2b^{2}-3b^{2}$$
$$a^{2}-\frac{3}{2}ab-5b^{2}$$
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$\frac{2a^{2}-3ab-10b^{2}}{2}$
$$\frac{4a^{2}+3ab-12b^{2}-12ab+2a^{2}-18b^{2}}{6}$$
$$6a^{2}-9ab-30b^{2}$$
$$3\left(2a^{2}-3ab-10b^{2}\right)$$
$$\frac{2a^{2}-3ab-10b^{2}}{2}$$