Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.2 - Factoring the Difference of Two Squares - Problem Set 6.2 - Page 249: 98



Work Step by Step

Using $a^3-b^3=(a-b)(a^2+ab+b^2)$ or the factoring of the difference of $2$ cubes, the factored form of the given expression, $ 27n^3-125 ,$ is \begin{array}{l}\require{cancel} (3n-5)[(3n)^2+3n(5)+(5)^2] \\\\= (3n-5)(9n^2+15n+25) .\end{array}
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