\[ab^{- 2} - a^{- 2}b = \frac{a^{\backslash a^{2}}}{b^{2}} - \frac{b^{\backslash b^{2}}}{a^{2}} =\]
\[= \frac{a^{3} - b^{3}}{a^{2}b^{2}}\text{.\ }\]