Factorize:
$x^{2} - 12 x + 36$

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Solution

We need to factorise $x^{2} - 12 x + 36$
We have to split middle term as
$x^{2} - 12 x + 36 = x^{2} - 6 x - 6 x + 36$
$= x (x - 6) - 6 (x - 6)$
$= (x - 6)^{2}$
Thus factors are $(x - 6), (x - 6)$ .

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