Simplify $$ \dfrac{a^2-b^2}{ab}-\dfrac{ab-b^2}{ab-a^2} $$ , its result is

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Simplify $$ \dfrac{a^2-b^2}{ab}-\dfrac{ab-b^2}{ab-a^2} $$  , its result is

Uniteasy Admin · Accepted Answer

$$ \dfrac{a^2-b^2}{ab}-\dfrac{ab-b^2}{ab-a^2} $$
$$= \dfrac{a^2-b^2}{ab} - \dfrac{b(a-b)}{a(b-a)}  $$
$$= \dfrac{a^2-b^2}{ab} +\dfrac{b}{a}  $$
$$= \dfrac{a^2-b^2}{ab} +\dfrac{b^2}{ab}  $$
$$=\dfrac{a^2}{ab}  $$
$$=\dfrac{a}{b}  $$

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