Answer
$2x^{2}+9xy-5y^{2}$
Work Step by Step
Using the FOIL method, $(x+5y)(2x-y)=(x)(2x)+(x)(-y)+(5y)(2x)+(5y)(-y)=2x^{2}+(-xy)+10xy+(-5y^{2})=2x^{2}-xy+10xy-5y^{2}=2x^{2}+9xy-5y^{2}$.
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 5 - Section 5.6 - Special Products - Exercise Set - Page 387: 17
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