Intermediate Algebra (6th Edition)

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: 54

Answer

$32y-8\sqrt{y}+4z\sqrt{y}-z$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL method, then, \begin{array}{l} \left( 8\sqrt{y}+z \right)\left( 4\sqrt{y}-1 \right) \\= (8\sqrt{y})(4\sqrt{y})+(8\sqrt{y})(-1)+(z)(4\sqrt{y})+(z)(-1) \\= 32\sqrt{y^2}-8\sqrt{y}+4z\sqrt{y}-z \\= 32y-8\sqrt{y}+4z\sqrt{y}-z .\end{array}
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