Factorizing the group method
i. $2 x^{2} y + 6 x y^{2} + 4 x + 12 y$

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Solution

Consider given the expression,

$\Rightarrow 2 x^{2} y + 6 x y^{2} + 4 x + 12 y$

$\Rightarrow 2 x y (x + 3 y) + 4 (x + 3 y)$

$\Rightarrow (x + 3 y) (2 x y + 4)$

Hence, this is the answer.

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