Answer
$x-2\sqrt x+1$
Work Step by Step
Use special formula $(a-b)^2=a^2-2ab+b^2$.
We have $a=\sqrt x$ and $b=1$
$(\sqrt{x}-1)^2=(\sqrt{x})^2-2(\sqrt x)(1)+(1)^2$
Simplify.
$=x-2\sqrt x+1$
Hence, the correct answer is $x-2\sqrt x+1$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A88: 41
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