Factorise.
$3 x^{2} + 11 x y + 6 y^{2}$

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Solution

$3 x^{2} + 11 x y + 6 y^{2}$
$= 3 x^{2} + 9 x y + 2 x y + 6 y^{2}$
$= 3 x (x + 3 y) + 2 y (x + 3 y)$
$= (3 x + 2 y) (x + 3 y)$
Hence the factors are $(3 x + 2 y) (x + 3 y)$

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