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: 18

Answer

$(6s-5)^{2}$

Work Step by Step

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