# Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set: 39

$4a(2a^{2}-1)$

#### Work Step by Step

We are given the polynomial $8a^{3}-4a$. The GCF of both terms is$4a$, so we can factor $4a$ out from each term. $4a(2a^{2})+4a(-1)$ Next, we can apply the distributive property. $4a(2a^{2}-1)$

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