Respuesta :

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