Answer
$(q+1)^{2}$
Work Step by Step
$q^{2}+2q+1=$
...does middle term equal $2ab$?
$2q=2(q)(1)$
$=q^{2}+2(q)(1)+1$
...write as the square of a binomial.
$=(q+1)^{2}$
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: 13
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