Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 533: 52

Answer

$(m+6)^{2}$

Work Step by Step

$m^{2}+12m+36=$ ...write the last term as a square. $=m^{2}+12m+6^{2}$ ...does middle term equal $2ab$? $12m=2(m)(6)$ $=m^{2}+2(m)(6)+6^{2}$ ...write as the square of a binomial. $=(m+6)^{2}$

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