Factorise
$64 a^{3} - 343$

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Solution

$64 a^{3} - 343 = (4 a)^{3} - 7^{3} = (4 a - 7) ((4 a)^{2} + 4 a \times 7 + 7^{2}) = (4 a - 7) (16 a^{2} + 28 a + 49)$

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