# Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 527: 37

$3(3w+2)(3w-2)$

#### 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. $=3(3w+2)(3w-2)$

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