Factorize the following polynomial.
$4 x^{2} + 12 x + 9$

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Solution

Given $4 x^{2} + 12 x + 9$
$= 4 x^{2} + 6 x + 6 x + 9$

$= 2 x (2 x + 3) + 3 (2 x + 3)$

$= (2 x + 3) (2 x + 3)$

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