Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 538: 71


The length of a side of a square is $3n+9$.

Work Step by Step

$9n^{2}+54n+81=$ ...write first and last terms as squares. $=(3n)^{2}+54n+9^{2}$ ...does middle term equal $2ab$? $54n=2(3n)(9)$ yes. $=(3n)^{2}+2(3n)(9)+9^{2}$ ...write as the square of a binomial. $=(3n+9)^{2}$ The length of a side of a square is $3n+9$.
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