Answer
$3x(4x^2+y^2)
$
Work Step by Step
$12x^3+3xy^2=3x(4x^2+y^2)=3x((2x)^2+y^2)$. We don't know methods for the sum of squares hence we cannot make it more simple, thus this is the final form.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.6 - A General Factoring Strategy - Exercise Set - Page 379: 57
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