Solve:
$a^{3} + 125 b^{3}$

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Solution

$a^{3} + 125 b^{3}$

$(a)^{3} + (5 b)^{3}$

we know $x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})$

$(a + 5 b) (a^{2} + 25 b^{2} - 5 a b)$

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a^{3} {(b - c)}^{3} + b^{3} {(c - a)}^{3} + c^{3} {(a - b)}^{3}

a^{3 -} b^{3}

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