Answer
$$A=(x+2y)(x-2y)$$
Work Step by Step
Larger square $$A=(x)(x) = x^2$$
Smaller square $$A = (2y)(2y) = 4y^2$$
Shaded region $$A = x^2-4y^2 = (x+2y)(x-2y)$$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Test - Page 333: 28
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