Answer
$\frac{x}{y+5}$
Work Step by Step
Given : $\frac{5x^{2}}{y^{2}-25} \div \frac{5xy-25x}{y^{2}-10y+25}$
$= \frac{5x^{2}}{(y-5)(y+5)} \times \frac{(y-5)(y-5)}{5x(y-5)}$
$= \frac{x}{y+5}$
(After dividing out the common factors 5x and (y-5))
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 676: 68
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