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Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form. ​

Which of the following is the quotient of the rational expressions shown below Make sure your answer is in reduced form class=

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CHERLYNnotCHERRY

Answer:

The answer is B.

Step-by-step explanation:

First, you have to convert division into multiplication and cross out the common term :

[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]

[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]

[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]

[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]

[tex] \frac{6x - 3}{ {x}^{3} } [/tex]

The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]

calculation:

[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

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