Answer
a) $3x(x+y)+2y(x+y)$
b) $(x+y)(3x+2y)$
Work Step by Step
a) We write the area of the shaded blue region as the sum of the $5$ blue areas:
$$3x(x+y)+2y(x+y).$$
b) We factor the expression:
$$3x(x+y)+2y(x+y)=(x+y)(3x+2y).$$
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: 84
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