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 - Lesson Check - Page 526: 4


The side length of the square is $6w+5$.

Work Step by Step

$36w^{2}+60w+25=$ ...write first and last terms as squares. $=(6w)^{2}+60w+(5)^{2}$ ...does middle term equal $2ab$? $60w=2\cdot(6w)\cdot(5)$ $=(6w)^{2}+2\cdot(6w)\cdot(5)+(5)^{2}$ ...write as the square of a binomial. $=(6w+5)^{2}$ The side length of the square is $6w+5$.
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