What is (a^2-b^2)/(ab)-(ab-b^2)/(ab-a^2) ?

The solution to (a^2-b^2)/(ab)-(ab-b^2)/(ab-a^2) is a/b

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simplify (a^2-b^2)/(ab)-(ab-b^2)/(ab-a^2)

simplify

\frac{a ^{2} - b ^{2}}{ab} - \frac{ab - b ^{2}}{ab - a ^{2}}

\frac{a}{b}

Solution steps

\frac{a ^{2} - b ^{2}}{ab} - \frac{ab - b ^{2}}{ab - a ^{2}}

Cancel

\frac{ab - b ^{2}}{ab - a ^{2}} : - \frac{b}{a}

= \frac{a ^{2} - b ^{2}}{ab} - (- \frac{b}{a})

Apply rule:

- (- a) = a

- (- \frac{b}{a}) = \frac{b}{a}

= \frac{a ^{2} - b ^{2}}{ab} + \frac{b}{a}

Simplify

\frac{a ^{2} - b ^{2}}{ab} + \frac{b}{a} : \frac{a ^{2}}{ab}

= \frac{a ^{2}}{ab}

Cancel

\frac{a ^{2}}{ab} : \frac{a}{b}

= \frac{a}{b}

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What is (a^2-b^2)/(ab)-(ab-b^2)/(ab-a^2) ?
The solution to (a^2-b^2)/(ab)-(ab-b^2)/(ab-a^2) is a/b