Factorise:
$x^{2} - 32 x - 105$

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Solution

$x^{2} - 32 x - 105 \Rightarrow x^{2} - 35 x + 3 x - 105 = 0 \Rightarrow x (x - 35) + 3 (x - 35) = 0 \Rightarrow (x - 35) (x + 3) = 0$

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$x^{2} - \sqrt{3} x - 6$

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