Answer
$x-y^2$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, then,
\begin{array}{l}
\left( \sqrt[]{x}-y \right)\left( \sqrt[]{x}+y \right)
\\=
(\sqrt[]{x})^2-(y)^2
\\=
x-y^2
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 439: 63
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