Answer
$\frac{1}{3z(z+10)}$
Work Step by Step
$\frac{\frac{z-10}{z+10}}{3z^2-30z}$
$=\frac{z-10}{z+10}\div(3z^2-30z)$
$=\frac{z-10}{z+10}\times\frac{1}{3z(z-10)}$
$=\frac{z-10}{3z(z+10)(z-10)}$
$=\frac{1}{3z(z+10)}$
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 674: 49
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