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Question

The L.C.M of x24 and x25x+6 is

A
(x -2) (x + 2) (x -3)
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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
(x2)2(x3)(x4)
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Solution

The correct option is A (x -2) (x + 2) (x -3)
Since, x24=(x222)=(x+2)(x2) [a2b2=(ab)(a+b)]
and
x25x+6=x23x2x6
=(x3)(x2)
L.C.M. =(x2)(x+2)(x3)

Option A is correct.

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