Answer
$(m+9)^{2}$
Work Step by Step
$m^{2}+18m+81=$
...write the last term as a square.
$=m^{2}+18m+9^{2}$
...does middle term equal $2ab$?
$18m=2(m)(9)$
$=m^{2}+2(m)(9)+9^{2}$
...write as the square of a binomial.
$=(m+9)^{2}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
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: 12
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