Answer
$3x^{2}+11xy-4y^{2}$
Work Step by Step
Using the FOIL method, $(x+4y)(3x-y)=(x)(3x)+(x)(-y)+(4y)(3x)+(4y)(-y)=3x^{2}+(-xy)+12xy+(-4y^{2})=3x^{2}-xy+12xy-4y^{2}=3x^{2}+11xy-4y^{2}$.
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: 18
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