Question

Which of the following is the product of the rational expressions shown here? 1/x 2*x/x-2.

Answer 1

The product of rational expression is $\rm \dfrac{x}{x^2-2x}$.

Given that

The rational expression is

$\rm \dfrac{1}{x} \times \dfrac{x}{x-2}$

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

$\rm \dfrac{1}{x} \times \dfrac{x}{x-2}$

Then,

The product of the rational expression is,

$\rm= \dfrac{1}{x} \times \dfrac{x}{x-2}\\\\= \dfrac{1\times x}{x\times x - x \times 2}\\\\= \dfrac{x}{x^2-2x}$

Hence, the product of rational expression is $\rm \dfrac{x}{x^2-2x}$.

To know more about Rational expression click the link given below.

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