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A.
-(x - 4)(x + 1) (x - 1)(x - 2)
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B.
(x - 4)(x - 2) (x - 1)(x + 1)
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C.
-(x - 2)(x + 1) (x - 2) (x - 1)
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D.
(x - 2)(x + 2) (x - 1)(x + 1)
Correct Answer: Option A
Explanation
9 - (x2 - 3x - 1)2 = [3 - (x2 - 3x - 1)] [3 + (x2 - 3x - 1)]
= (3 - x2 + 3x + 1)(3 + x2 - 3x - 1)
= (4 + 3x - x2)(x2 - 3x + 2)
= (4 - x)(1 + x)(x - 1)(x - 2)
= -(x - 4)(x + 1) (x - 1)(x - 2)
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