Factorise the following expressions:-
$(a + 3 b)^{2} + 4 a + 12 b$

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Solution

$(a + 3 b)^{2} + 4 a + 12 b$
$\Rightarrow (a + 3 b) (a + 3 b) + 4 (a + 3 b)$
$\Rightarrow (a + 3 b) [a + 3 b + 4]$
$\Rightarrow (a + 3 b) (a + 3 b + 4)$

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