$$\frac{x^{4}-x^{2}}{x^{3}-4x^{2}+3x}$$
$\frac{x\left(x+1\right)}{x-3}$
$$\frac{\left(x-1\right)\left(x+1\right)x^{2}}{x\left(x-3\right)\left(x-1\right)}$$
$$\frac{x\left(x+1\right)}{x-3}$$
$$\frac{x^{2}+x}{x-3}$$
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$\frac{x^{2}+x}{x-3}$
