Question

Which of the following is the product of the rational expression shown below?

Answer 1

Answer:

Option: D is the correct answer.

                        D.    $\dfrac{6}{2x^2-5x}$                  

Step-by-step explanation:

We have to find the product of the rational expression which is given as follows:

$\dfrac{2}{x}\cdot \dfrac{3}{2x-5}$

We know as any of the term in the numerator and denominator does not have  a common factor.

Hence, none of the term get cancelled and hence the product of the expression is in fraction form where the numerator terms get multiplied to each other and denominator with each other.

Hence, the expression so obtained is:

               $=\dfrac{6}{x(2x-5)}=\dfrac{6}{2x^2-5x}$                  

Answer 2

D

$\frac{(6)}{x(2x - 5)}$

Just multiply to get

$\frac{6}{ {2x}^{2} - 5x }$