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

(a^{2} + 3) (a - 9)

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(a^{2} + 1) (a - 3)

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(a^{3} + 1) (3 - a)

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(a^{4} + 1) (7 - a)

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Solution

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

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