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: 61

Answer

$4p^{2}+28p+49$

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, $(2p+7)^{2}=(2p)^{2}+2(2p)(7)+7^{2}=2^{2}p^{2}+28p+49=4p^{2}+28p+49$.
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