Answer
$(w+12)^{2}$
Work Step by Step
$w^{2}+24w+144=$
...write last term as a square.
$=w^{2}+24w+12^{2}$
...does middle term equal $2ab$?
$24w=2(w)(12)$
yes.
$=w^{2}+2(w)(12)+12^{2}$
...write as the square of a binomial.
$=(w+12)^{2}$
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 - Chapter Review - Page 538: 68
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