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

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Solution

$1 - 6 x + 9 x^{2} = (1)^{2} - 2 \times 1 \times 3 x + (3 x)^{2} = (1 - 3 x)^{2} {∵ a^{2} - 2 a b + b^{2} = (a - b)^{2}}$

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