Answer
-x-5, $x\ne5$
Work Step by Step
Expression : $\frac{x^{2}-25}{5-x}=\frac{-(5-x)(x+5)}{5-x}=-(x+5)=-x-5$
with x≠5 as x=5 would make the denominator in the original expression zero and division by 0 is not allowed.
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: 22
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