Intermediate Algebra for College Students (7th Edition)

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

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: $$x^2+y^2+xy+xy=x^2+2xy+y^2=(x+y)^2.$$
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