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: 102

Answer

$4-81n^2$

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, $ (2+9n)(2-9n) ,$ is equivalent to \begin{array}{l}\require{cancel} (2)^2-(9n)^2 \\\\= 4-81n^2 .\end{array}
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