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Algebraic Identities

Factorise x3-...

Question

Factorise
$x^{3} - 512$

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Solution

$x^{3} - 512 = x^{3} - 8^{3} = (x - 8) (x^{2} + x \times 8 + 8^{2}) = (x - 8) (x^{2} + 8 x + 64)$

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