Answer
$-|x-5|$
Work Step by Step
The square of a binomial sum is: $(A-B)^2=A^2-2AB+B^2$.
$\sqrt[n] {a^n}=|a|$ if $n$ is even.
Hence here: $-\sqrt{x^2-10x+25}=-\sqrt{(x-5)^2}=-|x-5|$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set - Page 512: 46
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