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: 63

Answer

$(4x+3)(16x^{2}-12x+9)$

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 $64x^{3}+27=(4x+3)((4x)^{2}-4x\times3+(3)^{2})=(4x+3)(16x^{2}-12x+9)$. In this case, $a=4x$ and $b=3$.
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