The product of rational expression is [tex]\rm \dfrac{x}{x^2-2x}[/tex].
Given that
The rational expression is
[tex]\rm \dfrac{1}{x} \times \dfrac{x}{x-2}[/tex]
We have to determine
The product of rational expression.
According to the question
The product of rational expression is determined in the following steps given below.
The rational expression is
[tex]\rm \dfrac{1}{x} \times \dfrac{x}{x-2}[/tex]
Then,
The product of the rational expression is,
[tex]\rm= \dfrac{1}{x} \times \dfrac{x}{x-2}\\\\= \dfrac{1\times x}{x\times x - x \times 2}\\\\= \dfrac{x}{x^2-2x}[/tex]
Hence, the product of rational expression is [tex]\rm \dfrac{x}{x^2-2x}[/tex].
To know more about Rational expression click the link given below.
https://brainly.com/question/4803968