Factorize the following equation by the grouping method
$24 a^{3} + 37 a^{2} - 5 a$

a (a - 3) (8 a - 1)

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a (a + 3) (a - 1)

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a (3 a + 1) (a - 1)

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a (3 a + 5) (8 a - 1)

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Solution

The correct option is B $a (3 a + 5) (8 a - 1)$
$24 a^{3} + 37 a^{2} - 5 a$
$= a (24 a^{2} + 37 a - 5)$
$= a (24 a^{2} + 40 a - 3 a - 5)$
$= a [8 a (3 a + 5) - 1 (3 a + 5)]$
$= a (3 a + 5) (8 a - 1)$

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