Answer
$3(3w+2)(3w-2)$
Work Step by Step
$27w^{2}-12=$
...factor out the GCF, $3$.
$=3(9w^{2}-4)$
...write the difference as $a^{2}-b^{2}$.
$=3((3w)^{2}-2^{2})$
...factor using the rule for a difference of two squares.
$=3(3w+2)(3w-2)$
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 527: 37
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