Simplify: \frac{ {a}^(2) + ab }{a - b} / \frac{ab}{ {a}^(2) - {b}^(2) } ​

Question

Simplify:


`\frac{ {a}^(2) + ab }{a - b} / \frac{ab}{ {a}^(2) - {b}^(2) }`
​

Answer 1

9514 1404 393

Answer:

(a+b)²/b

Explanation:

Invert the denominator fraction and multiply.

`(a^2+ab)/(a-b)/(ab)/(a^2-b^2)=(a(a+b))/(a-b)\cdot(a^2-b^2)/(ab)\\\\=(a(a+b)(a+b)(a-b))/(ab(a-b))=\boxed{((a+b)^2)/(b)}`