College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 76: 137

Answer

False. $(x^{3}-64)= (x-4)(x^{2}+4x+16)$

Work Step by Step

Difference of two cubes, $A^{3}- B^{3} = (A-B)(A^{2}+AB+B^{2})$ $x^{3}- 64 = x^{3}- 4^{3} $ $= (x-4)(x^{2}+4x+4^{2})$ $= (x-4)(x^{2}+4x+16)$
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