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B
(x -2) (x + 2) (x + 3)
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C
(x + 3) (x -3) (x + 2)
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D
(x−2)2(x−3)(x−4)
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Solution
The correct option is A (x -2) (x + 2) (x -3) Since, x2−4=(x2−22)=(x+2)(x−2) [∵a2−b2=(a−b)(a+b)] and x2−5x+6=x2−3x−2x−6 =(x−3)(x−2) ∴ L.C.M. =(x−2)(x+2)(x−3) Option A is correct.