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 - Chapter Review - Page 538: 60



Work Step by Step

$16q^{2}+56q+49=$ ...write first and last terms as squares. $=(4q)^{2}+56q+(7)^{2}$ ...does middle term equal $2ab$? $56q=2\cdot(4q)\cdot(7) ?$ yes. $=(4q)^{2}+2\cdot(4q)\cdot(7)+(7)^{2}$ ...write as the square of a binomial. $=(4q+7)^{2}$
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