Answer
$2x^3-8x^2+12x$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $
2x(x^2-4x+6)
,$ is equivalent to
\begin{array}{l}\require{cancel}
2x(x^2)+2x(-4x)+2x(6)
\\\\=
2x^3-8x^2+12x
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 200: 53
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