Algebra: A Combined Approach (4th Edition)

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

Chapter 5 - Section 5.6 - Special Products - Exercise Set: 17

Answer

$2x^{2}+9xy-5y^{2}$

Work Step by Step

Using the FOIL method, $(x+5y)(2x-y)=(x)(2x)+(x)(-y)+(5y)(2x)+(5y)(-y)=2x^{2}+(-xy)+10xy+(-5y^{2})=2x^{2}-xy+10xy-5y^{2}=2x^{2}+9xy-5y^{2}$.
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