Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises - Page 305: 62

Answer

$9z^{2}+48z+64$

Work Step by Step

From Page 302, we know that the square of a binomial sum $x+y$ is given by the following equation: $(x+y)^{2}=x^{2}+2xy+y^{2}$ Therefore, $(3z+8)^{2}=(3z)^{2}+2(3z)(8)+8^{2}=3^{2}z^{2}+48z+64=9z^{2}+48z+64$.
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