Answer
a) $x^2+y^2+xy+xy$
b) $(x+y)^2$
Work Step by Step
a) We write the area of the shaded blue region as the sum of the $4$ blue areas:
$$x^2+y^2+xy+xy.$$
b) We factor the expression:
$$x^2+y^2+xy+xy=x^2+2xy+y^2=(x+y)^2.$$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.6 - A General Factoring Strategy - Exercise Set - Page 379: 82
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