Answer
$25a^2b^2-10abcd^2+c^2d^4$
Work Step by Step
RECALL:
$(x-y)^2=x^2-2xy+y^2$
Use the formula above with $x=5ab$ and $y=cd^2$ to obtain:
$(5ab+cd^2)^2
\\=(5ab)^2-2(5ab)(cd^2)+(cd^2)^2
\\=25a^2b^2-10abcd^2+c^2d^4$
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 - Review Exercises: Chapter 4 - Page 299: 68
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