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 - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 285: 93



Work Step by Step

We know the following equation for the area of the shaded region: $$ A_{shaded}=\text{Overall Area} - \text{ Area Used Up}$$ Using this, we find: $$x^2-(x-2y)^2 \\x^2-\left(x^2-4xy+4y^2\right) \\ 4xy-4y^2$$
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