The factors of 9 – (x

^{2}– 3x – 1)^{2}are-
**A.**

-(x – 4)(x + 1) (x – 1)(x – 2) -
**B.**

(x – 4)(x – 2) (x – 1)(x + 1) -
**C.**

-(x – 2)(x + 1) (x – 2) (x – 1) -
**D.**

(x – 2)(x + 2) (x – 1)(x + 1)

##### Correct Answer: Option A

##### Explanation

9 – (x^{2} – 3x – 1)^{2} = [3 – (x^{2} – 3x – 1)] [3 + (x^{2} – 3x – 1)]

= (3 – x^{2} + 3x + 1)(3 + x^{2} – 3x – 1)

= (4 + 3x – x^{2})(x^{2} – 3x + 2)

= (4 – x)(1 + x)(x – 1)(x – 2)

= -(x – 4)(x + 1) (x – 1)(x – 2)