$$\frac{ { x }^{ 3 } +4 { x }^{ 2 } +4x }{ x+2 }$$
$x\left(x+2\right)$
$$\frac{x\left(x+2\right)^{2}}{x+2}$$
$$x\left(x+2\right)$$
$$x^{2}+2x$$
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$x^{2}+2x$
