Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Review Exercises: Chapter 4: 68

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: $(5ab+cd^2)^2 \\=(5ab)^2-2(5ab)(cd^2)+(cd^2)^2 \\=25a^2b^2-10abcd^2+c^2d^4$
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