$$\frac{x^{4}-8x}{3x^{3}-2x^{2}-8x}$$
$\frac{x^{2}+2x+4}{3x+4}$
$$\frac{x\left(x-2\right)\left(x^{2}+2x+4\right)}{x\left(x-2\right)\left(3x+4\right)}$$
$$\frac{x^{2}+2x+4}{3x+4}$$
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