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: 64

Answer

$(2x+5)(4x^{2}-10x+25)$

Work Step by Step

If $a$ and $b$ are real numbers, we know that $a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})$. Therefore, we know that $8x^{3}+125=(2x+5)((2x)^{2}-2x\times5+(5)^{2})=(2x+5)(4x^{2}-10x+25)$. In this case, $a=2x$ and $b=5$.
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