Factorize :
$x (3 x - 11) + 6$

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Solution

The given expression $x (3 x - 11) + 6$ can be expanded as shown below:

$x (3 x - 11) + 6 = (x \times 3 x) - (x \times 11) + 6 = 3 x^{2} - 11 x + 6 = 3 x^{2} - 9 x - 2 x + 6 = 3 x (x - 3) - 2 (x - 3) = (3 x - 2) (x - 3)$

Hence, $x (3 x - 11) + 6 = (3 x - 2) (x - 3)$ .

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