Move the negative sign to the left.
\[\frac{-\frac{2}{b}+\frac{a-b}{{b}^{2}}}{\frac{1}{a{b}^{2}}-\frac{1}{{a}^{2}b}}\]
Regroup terms.
\[\frac{\frac{a-b}{{b}^{2}}-\frac{2}{b}}{\frac{1}{a{b}^{2}}-\frac{1}{{a}^{2}b}}\]
Rewrite the expression with a common denominator.
\[\frac{\frac{a-b-2b}{{b}^{2}}}{\frac{1}{a{b}^{2}}-\frac{1}{{a}^{2}b}}\]
Collect like terms.
\[\frac{\frac{a+(-b-2b)}{{b}^{2}}}{\frac{1}{a{b}^{2}}-\frac{1}{{a}^{2}b}}\]
Simplify \(a+(-b-2b)\) to \(a-3b\).
\[\frac{\frac{a-3b}{{b}^{2}}}{\frac{1}{a{b}^{2}}-\frac{1}{{a}^{2}b}}\]
Rewrite the expression with a common denominator.
\[\frac{\frac{a-3b}{{b}^{2}}}{\frac{a-b}{{a}^{2}{b}^{2}}}\]
Invert and multiply.
\[\frac{a-3b}{{b}^{2}}\times \frac{{a}^{2}{b}^{2}}{a-b}\]
Cancel \({b}^{2}\).
\[(a-3b)\times \frac{{a}^{2}}{a-b}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{(a-3b){a}^{2}}{a-b}\]
Regroup terms.
\[\frac{{a}^{2}(a-3b)}{a-b}\]
(a^2*(a-3*b))/(a-b)
