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Factorisation Using Algebraic Identities

Factorise : x...

Question

Factorise :

$x^{3} - 64 x$

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Solution

$x^{3} - 64 x = x (x^{2} - 64) = x {(x)^{2} - (8)^{2}} = x (x + 8) (x - 8) A n s .$

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