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: 66

Answer

$4x^3-11x^2+x$

Work Step by Step

Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $ 3x(2x^2-x+5)-2x(x^2+4x+7) ,$ simplifies to \begin{array}{l}\require{cancel} 6x^3-3x^2+15x-2x^3-8x^2-14x \\\\= (6x^3-2x^3)+(-3x^2-8x^2)+(15x-14x) \\\\= 4x^3-11x^2+x .\end{array}
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