Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Review Exercises: 58

Answer

(3m-1)(9m$^2$+3m+1)

Work Step by Step

27x$^3$-1 This expression is a difference of cubes. If a is the cube root of the first term and b is the cube root of the second term, the factorization is (a-b)(a$^2$+ab+b$^2$. $\sqrt[3] {27m^3}$=3m and $\sqrt[3] 1$=1. So the factorization is (3m-1)(9m$^2$+3m+1).
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