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: 57

Answer

$28x^3y-7x^2y+35xy$

Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $ 7xy(4x^2-x+5) ,$ is equivalent to \begin{array}{l}\require{cancel} 7xy(4x^2)+7xy(-x)+7xy(5) \\\\= 28x^3y-7x^2y+35xy .\end{array}
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