Answer
$(3y+2-z)(3y+2+z)$
Work Step by Step
Using factoring techniques, then,
\begin{array}{l}
9y^2+12y+4-x^2
\\=
(9y^2+12y+4)-x^2
\\=
(3y+2)^2-z^2
\\=
[(3y+2)-z][(3y+2)+z]
\\=
(3y+2-z)(3y+2+z)
.\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: 52
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