131k views
0 votes
Simplify:


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


User PublicRavi
by
7.1k points

1 Answer

4 votes

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)}

User Rgv
by
6.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.