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: 18

Answer

$3x^{2}+11xy-4y^{2}$

Work Step by Step

Using the FOIL method, $(x+4y)(3x-y)=(x)(3x)+(x)(-y)+(4y)(3x)+(4y)(-y)=3x^{2}+(-xy)+12xy+(-4y^{2})=3x^{2}-xy+12xy-4y^{2}=3x^{2}+11xy-4y^{2}$.
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