Factors of $2 a^{2} + 13 a b - 24 b^{2}$ are

(a + 8 b) (2 a - 3 b)

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(a - 8 b) (2 a + 3 b)

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(a + 3 b) (2 a - 8 b)

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None of these

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Solution

The correct option is C $(a + 8 b) (2 a - 3 b)$
$2 a^{2} + 13 a b - 24 b^{2}$
$= 2 a^{2} + 16 a b - 3 a b - 24 b^{2}$
$= 2 a (a + 8 b) - 3 b (a + 8 b)$
$= (a + 8 b) (2 a - 3 b)$

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