Answer
(5x - 3)(25$x^{2}$ + 15x + 9)
Work Step by Step
125$x^{3}$ - 27 is a difference of cubes, so we write it as a difference of cubes and factor:
$(5x)^{3}$ - $3^{2}$
= (5x - 3)($(5x)^{2}$ + 5x(3) + $3^{2}$)
= (5x - 3)(25$x^{2}$ + 15x + 9)
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises - Page 39: 63
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