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: 15



Work Step by Step

$64x^{2}+112x+49=$ ...write first and last terms as squares. $=(8x)^{2}+112x+(7)^{2}$ ...does middle term equal $2ab$? $112x=2\cdot(8x)\cdot(7)$ $=(8x)^{2}+2\cdot(8x)\cdot(7)+(7)^{2}$ ...write as the square of a binomial. $=(8x+7)^{2}$
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