Answer
$x^2-x$
Work Step by Step
Using the $(a+b)(a-b)=a^2-b^2$ and the laws of exponents, the given expression, $
(x+x^{1/2})(x-x^{1/2})
,$ simplifies to
\begin{array}{l}\require{cancel}
=(x)^2-(x^{1/2})^2
\\\\=x^2 - x^1
\\\\=
x^2-x
.\end{array}
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 57: 79
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