The L. C. M. of $2 x + 2, 3 x^{2} - 12$ and $4 x^{2} + 12 x + 8$ is

12 (x + 1) (x - 3) (x + 2)

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12 (x + 1) (x - 2) (x + 3)

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12 (x + 1) (x - 3) (x + 3)

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12 (x + 1) (x + 2) (x - 2)

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Solution

The correct option is B $12 (x + 1) (x + 2) (x - 2)$
$G i v e n f (x) = 2 x + 2 = 2 (x + 1) g (x) = 3 x^{2} - 12 = 3 (x^{2} - 4) = 3 (x + 2) (x - 2) p (x) = 4 x^{2} + 12 x + 8 = 4 (x^{2} + 3 x + 2) = 4 (x^{2} + 2 x + x + 2) = 2 \times 2 (x + 2) (x + 1) ∴ L C M o f f (x), g (x) a n d p (x) i s 2 \times 3 \times 2 (x + 1) (x - 2) (x + 2) = 12 (x + 1) (x + 2) (x - 2) (A n s)$

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f (41)

2 x + 2, 3 x^{2} - 12

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