Answer
$(y+3)^{2}$
Work Step by Step
Rearrange the terms of the trinomial.
$9+6y+y^{2}=y^{2}+6y+9$
Use the formula $a^{2}\pm2ab+b^2=(a\pm b)^{2}$ to factor the perfect square.
$y^{2}+6y+9=(y+3)^{2}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises - Page 42: 32
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