Factorize $9 y^{2} - 12 y + 4$

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Solution

Consider the given expression.
$9 y^{2} - 12 y + 4$
$= 9 y^{2} - 6 y - 6 y + 4$
$= 3 y (3 y - 2) - 2 (3 y - 2)$
$= (3 y - 2) (3 y - 2)$
$= {(3 y - 2)}^{2}$

Hence, this is the answer.

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