If 9x

^{2}+ 6xy + 4y^{2}is a factor of 27x^{3}– 8y^{3}, find the other factor.-
**A.**

2y + 3x -
**B.**

2y – 3x -
**C.**

3x + 2y -
**D.**

3x – 2y

##### Correct Answer: Option D

##### Explanation

27x^{3} – 8y^{3} = (3x – 2y)^{3}

But 9x^{2} + 6xy + 4y^{2} = (3x +2y)^{2}

So, 27x^{3} – 8y^{3} = (3x – 2y)(3x – 2y)^{2}

Hence the other factor is 3x – 2y