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 - 3.5 Special Factoring Techniques - 3.5 Exercises: 20

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. $40x^3+625$ $=5(8x^3+125)$ $=5(2x+5)(4x^2-10x+25)$
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