Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.2 Combining Functions - 3.2 Exercises - Page 244: 44

Answer

$x^{2}+8xy+16y^{2}$

Work Step by Step

$(x+4y)^{2}$ $=(x+4y)(x+4y)$ $=x(x+4y)+4y(x+4y)$ $=x^{2}+4xy+4xy+16y^{2}$ $=x^{2}+8xy+16y^{2}$
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