Answer
$x^2-8x+16$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$, or the square of a binomial, the given expression, $
(x-4)^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(x)^2+2(x)(-4)+(-4)^2
\\\\=
x^2-8x+16
.\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: 88
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