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Expansion of (a ± b ± c)²

Solve 24a3+8...

Question

Solve
$24 a^{3} + 81 b^{3}$

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Solution

$= 3 (8 a^{3} + 27 b^{3})$
$= 3 ({(2 a)}^{3} + {(3 b)}^{3})$
$= 3 (2 a + 3 b) (4 a^{3} - 12 a b + 9 b^{2})$

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