Precalculus (6th Edition)

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

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 44: 55



Work Step by Step

Test whether this is a perfect square, $(A+B)^{2}=A^{2}+2AB+B^{2}$ First term: $A^{2}=(2xy)^{2}\Rightarrow A=2xy$ Third term: $B^{2}=(7)^{2}\Rightarrow B=7$ Test:$\qquad$ does $2AB$ equal the middle term? $ 2AB=2(2xy)(7)=28xy\qquad$ ... yes, it does. $\Rightarrow$This is a perfect square, $(2xy+7)^{2}$
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