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 - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 526: 22


The side length of the square is $8r-9$.

Work Step by Step

$64r^{2}-144r+81=$ ...write first and last terms as squares. $=(8r)^{2}-144r+(9)^{2}$ ...does middle term equal $2ab$? $144r=2\cdot(8r)\cdot(9)$ $=(8r)^{2}-2\cdot(8r)\cdot(9)+(9)^{2}$ ...write as the square of a binomial. $=(8r-9)^{2}$ The side length of the square is $8r-9$.
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