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: 17

Answer

$(3n-7)^{2}$

Work Step by Step

$9n-42n+49=$ ...write first and last terms as squares. $=(3n)^{2}-42n+7^{2}$ ...does middle term equal $2ab$? $42n=2\cdot(3n)\cdot(7)$ $=(3n)^{2}-2\cdot(3n)\cdot(7)+7^{2}$ ...write as the square of a binomial. $=(3n-7)^{2}$
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