Answer
False.
Work Step by Step
The numerator can be factored:
$2x^{3}-4x^{2}=2x^{2}(x-2)$
Now, cancel the common factor
$\displaystyle \frac{2x^{3}-4x^{2}}{x-2}=\frac{2x^{2}(x-2)}{(x-2)}=2x^{2}$
So, the statement was false.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 70: 5
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