$$\frac{a^{2}+ab+b^{2}}{a^{3}-b^{3}}+\frac{1}{a-b}$$
$\frac{2}{a-b}$
$$\frac{a^{2}+ab+b^{2}}{\left(a-b\right)\left(a^{2}+ab+b^{2}\right)}+\frac{1}{a-b}$$
$$\frac{1}{a-b}+\frac{1}{a-b}$$
$$2\times \frac{1}{a-b}$$
$$\frac{2}{a-b}$$
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