Answer
$(x+3-y)(x+3+y)$
Work Step by Step
Using factoring techniques, then,
\begin{array}{l}
x^2+6x+9-y^2
\\=
(x^2+6x+9)-y^2
\\=
(x+3)^2-y^2
\\=
[(x+3)-y][(x+3)+y]
\\=
(x+3-y)(x+3+y)
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Section 5.7 - Factoring by Special Products - Exercise Set - Page 309: 23
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