College Algebra (11th Edition)

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

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}
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