$$\frac{x^{4}-16x^{2}-40x-25}{x-5}$$
$\left(x+1\right)\left(x^{2}+4x+5\right)$
$$\frac{\left(x-5\right)\left(x+1\right)\left(x^{2}+4x+5\right)}{x-5}$$
$$\left(x+1\right)\left(x^{2}+4x+5\right)$$
$$x^{3}+5x^{2}+9x+5$$
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$x^{3}+5x^{2}+9x+5$
