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

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

Step-by-step explanation:

It is given that, (x - 4)/2x²  ÷ (2x + 3)/(x + 4)

To find the correct option

(x - 4)/2x²  ÷ (2x + 3)/(x + 4)

 = (x - 4)/2x²  * (x + 4)/(2x + 3)

 = [(x - 4)(x + 4)]/(2x²(2x +3)

 = (x - 16)/(4x³ + 6x²)

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6