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 Test: 29

Answer

(2m+5n)(4m$^2$-10mn+25n$^2$)

Work Step by Step

8m$^3$+125n$^3$ This expression is a sum of cubes. If the cube root of the first term is a and the cube root of the second term is b, then the factorization is (a+b)(a$^2$-ab+b$^2$). So since $\sqrt[3] {8m^3}$=2m $\sqrt[3] {125n^3}$=5n, (2m+5n)(4m$^2$-10mn+25n$^2$).
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