Fatorise: $24 a^{3} + 81 b^{3}$

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Solution

Given that,
$24 a^{3} + 81 b^{3}$
$= 3 (2^{3} a^{3} + 3^{3} b^{3})$
$= 3 (2 a + 3 b) (2 a - 6 a b + 3 b) .$

Hence, this is the required answer.

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