Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 208: 110



Work Step by Step

Using $(a-b)(a+b)=a^2-b^2$, or the product of the sum and difference of like terms, the given expression, $ 3x(5x+7)(5x-7) ,$ is equivalent to \begin{array}{l}\require{cancel} 3x[(5x)^2-(7)^2] \\\\= 3x(25x^2-49) .\end{array} Using the Distributive Property, the expression, $ 3x(25x^2-49) ,$ is equivalent to \begin{array}{l}\require{cancel} 75x^3-147x .\end{array}
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