$x^{3} - 144 x = ?$

(a) $x (x - 12)^{2}$

(b) $x (x + 12)^{2}$

(c) x(x-12)(x+12)

(d) none of these

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Solution

$x^{3} - 144 x = x (x^{2} - 144) = x {(x)^{2} - (12)^{2}} = x (x - 12) (x + 12)$

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