Factorize:
$a^{3} + 2 a^{2} - a - 2$

(a + 2) (a + 1) (a - 1)

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(a - 2) (a + 1) (a + 1)

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(a + 2) (a + 1) (a - 2)

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(a - 2) (a + 1) (2 a - 1)

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Solution

The correct option is A $(a + 2) (a + 1) (a - 1)$
$a^{3} + 2 a^{2} - a - 2$
$= a^{2} (a + 2) - (a + 2)$
$= (a + 2) (a^{2} - 1)$
$= (a + 2) (a + 1) (a - 1)$

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