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

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Solution

$3 x^{2} y + 11 x y + 6 y = y (3 x^{2} + 11 x + 6) = y [(3 x^{2} + 9 x + 2 x + 6)] = y [3 x (x + 3) + 2 (x + 3)] = y [(x + 3) (3 x + 2)] = y (x + 3) (3 x + 2)$

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