Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.3 Polynomials - R.3 Exercises - Page 34: 105

Answer

(a) $(x+y)^2$ (b) $x^2+y^2+2xy$ (c) They represent the same area. (d) $(x+y)^2=x^2+2xy+y^2$

Work Step by Step

(a) Based on the given conditions, we have the area of the largest square as: $A=(x+y)(x+y)=(x+y)^2$ (b) The two small squares are $A_1=x^2, A_2=y^2$, the area of the two rectangles are $A_3=A_4=xy$. Thus the total is $A=x^2+y^2+2xy$ (c) They are equivalent because they represent the same area. (d) The formula is $(x+y)^2=x^2+2xy+y^2$
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