$$\left. \begin{array} { l } { x ^ { 2 } + 5 x + 6 } \\ { 4 x ^ { 2 } + 8 x + 3 } \end{array} \right.$$
$\left(x+2\right)\left(x+3\right)\left(2x+1\right)\left(2x+3\right)$
$$\left(x+2\right)\left(x+3\right)\left(2x+1\right)\left(2x+3\right)$$
$$4x^{4}+28x^{3}+67x^{2}+63x+18$$
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$\left(x+2\right)\left(x+3\right),\ \left(2x+1\right)\left(2x+3\right)$