carmannm
carmannm carmannm
  • 05-08-2019
  • Mathematics
contestada

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

Which of the following is the quotient of the rational expression shown below class=

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imlittlestar
imlittlestar imlittlestar
  • 05-08-2019

Answer:

The correct answer is option D.

(4x² + 12x + 5)/(6x³ - 3x)

Step-by-step explanation:

It is given an expression in variable x

(2x + 5)/3x ÷ (2x - 1)/2x + 1)

To find the correct option

(2x + 5)/3x ÷ (2x - 1)/2x + 1)

 = (2x + 5)/3x * (2x + 1)/(2x - 1)

 = (2x + 5)(2x + 1)/(3x(2x - 1)

 = (4x² + 12x + 5)/(6x³ - 3x)

The correct answer is option D.

(4x² + 12x + 5)/(6x³ - 3x)

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