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.
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