Evaluate:
$x^{3} - 4 x^{2} - x + 12 {(x - 2)}^{3}$

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Solution

$x^{3} - 4 x^{2} - x + 12 (x^{3} - 8 - 6 x (x - 2))$
$= x^{3} - 4 x^{2} - x + 12 x^{3} - 96 - 72 x^{2} + 144 x$
$= 13 x^{3} - 76 x^{2} + 143 x - 96$

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I s

x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}

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