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: 63

Answer

$(5m+8)^{2}$

Work Step by Step

$25m^{2}+80m+64=$ ...write first and last terms as squares. $=(5m)^{2}+80m+(8)^{2}$ ...does middle term equal $2ab$? $80m=2\cdot(5m)\cdot(8)$ yes. $=(5m)^{2}+2\cdot(5m)\cdot(8)+(8)^{2}$ ...write as the square of a binomial. $=(5m+8)^{2}$
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