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:
$(7xy-x^2)^2
\\=(7xy)^2-2(7xy)(x^2)+(x^2)^2
\\=49x^2y^2-14x^3y+x^4$
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 - Study Summary - Practice Exercises - Page 297: 32
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