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 - Study Summary - Practice Exercises: 32

Answer

$49x^2y^2-14x^3y+x^4$

Work Step by Step

RECALL: $(a-b)^2=a^2-2ab+b^2$ Use the formula above with $a=7xy$ and $b=x^2$ to obtain: $(7xy-x^2)^2 \\=(7xy)^2-2(7xy)(x^2)+(x^2)^2 \\=49x^2y^2-14x^3y+x^4$
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