Factorize :
$24 a^{3} + 37 a^{2} - 5 a$

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

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a (a^{2} + 5) (a - 1)

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

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

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Solution

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

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24 a^{3} + 37 a^{2} - 5 a

Factorise :

$24 a^{3} + 37 a^{2} - 5 a$

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