Answer
$25x^2+10x+1$
Work Step by Step
RECALL:
$(a+b)^2=a^2+2ab+b^2$
Using the formula above with $a=5x$ and $b=1$, the given expression is equivalent to:
$=(5x)^2+2(5x)(1)+1^2
\\=25x^2+10x+1$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 4 - Polynomials - 4.6 Special Products - 4.6 Exercise Set - Page 276: 32
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