Answer
$(4a-1)(2a^2+3)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
8a^3-2a^2+12a-3
,$ is
\begin{array}{l}
(8a^3-2a^2)+(12a-3)
\\\\=
2a^2(4a-1)+3(4a-1)
\\\\=
(4a-1)(2a^2+3)
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set - Page 310: 50
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