Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set: 62

Answer

$(\sqrt{x}-y)(\sqrt{x}+y)=x-y^{2}$

Work Step by Step

$(\sqrt{x}-y)(\sqrt{x}+y)$ Evaluate this product by using the formula for factoring a difference of squares. The formula is $a^{2}-b^{2}=(a-b)(a+b)$. For this expression, $a=\sqrt{x}$ and $b=y$ Substitute the known values into the formula and simplify if possible: $(\sqrt{x}-y)(\sqrt{x}+y)=(\sqrt{x})^{2}-y^{2}=x-y^{2}$
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