Factorize the below equation:
$6 a^{2} - a - 15$

(a) (a + 3)

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(a - 5) (2 a + 5)

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(3 a - 5) (2 a + 3)

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(a - 5) (a - 3)

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Solution

The correct option is A $(3 a - 5) (2 a + 3)$
$6 a^{2} - a - 15$
$\Rightarrow 6 a^{2} - 10 a + 9 a + 15$
$\Rightarrow 2 a (3 a - 5) + 3 (3 a - 5)$
$\Rightarrow (3 a - 5) (2 a + 3)$

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