Factorize:
$1 - 6 x + 9 x^{2}$

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Solution

Given expression is $1 - 6 x + 9 x^{2}$
It can be written as $9 x^{2} - 6 x + 1$
We will split middle term as
$9 x^{2} - 6 x + 1 = 9 x^{2} - 3 x - 3 x + 1$
$= 3 x (3 x - 1) - 1 (3 x - 1)$
$= (3 x - 1) (3 x - 1)$

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