Answer
$5(2x+5)(4x^2-10x+25)$
Work Step by Step
First, pull out the greatest common factor. Then use the formula $a^3+b^3=(a+b)(a^2-ab+b^2)$ to factor.
$40x^3+625$
$=5(8x^3+125)$
$=5(2x+5)(4x^2-10x+25)$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 3 - Exponents, Polynomials and Functions - 3.5 Special Factoring Techniques - 3.5 Exercises - Page 279: 20
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