Answer
$16x^2+56x+49$
Work Step by Step
Using the square of a binomial, $(a+b)^2=a^2+2(a)(b)+b^2$, the given expression is equivalent to
\begin{align*}
&
(4x+7)^2
\\\\&=
(4x)^2+2(4x)(7)+7^2
\\\\&=
16x^2+56x+49
.\end{align*}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 54
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