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Answer:
(a+b)²/b
Step-by-step explanation:
Invert the denominator fraction and multiply.
[tex]\dfrac{a^2+ab}{a-b}\div\dfrac{ab}{a^2-b^2}=\dfrac{a(a+b)}{a-b}\cdot\dfrac{a^2-b^2}{ab}\\\\=\dfrac{a(a+b)(a+b)(a-b)}{ab(a-b)}=\boxed{\dfrac{(a+b)^2}{b}}[/tex]
