Answer
$4x^2+20xy+25y^2$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$, or the square of a binomial, the given expression, $
(2x+5y)^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(2x)^2+2(2x)(5y)+(5y)^2
\\\\=
4x^2+20xy+25y^2
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 208: 98
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