Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set - Page 373: 131

Answer

$(x-4)(x^2+4x+16)$

Work Step by Step

The formula for factoring the difference of two cubes is: $A^3-B^3=(A-B)(A^2+AB+B^2)$. Hence here: $x^3-64=x^3-4^3=(x-4)(x^2+4x+16)$, thus the statement is false.
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