Answer
$\frac{1}{5x-10}$
Work Step by Step
$\frac{5}{x-1}.\frac{x-1}{25(x-2)}=\frac{5(x-1)}{(x-1)(25)(x-2)}$
Eliminate (x-1) in both numerator and denominator:
$\frac{5}{(25)(x-2)}=\frac{5}{5(5)(x-2)}=\frac{1}{5(x-2)}=\frac{1}{5x-10}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Prerequisites - P.5 - Rational Expressions - Exercises - Page 48: 33
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