Answer:
The correct answer is option D.
(x² - 16)/(4x³ + 6x²)
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)