Answer
$3x(x-5)^{2}$
Work Step by Step
$ 3x^{3}-30x^{2}+75x\qquad$...factor out the common term, $3x$.
$=3x(x^{2}-10x+25)\qquad$...recognize a perfect square trinomial.
$(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$;
$A=x,\ B=5$
$=3x(x-5)^{2}$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 6 - Review Exercises - Page 479: 57
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