Elementary Algebra

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

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}
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