$$\frac{3x^{3}-24}{x^{2}+3x-10}$$
$\frac{3\left(x^{2}+2x+4\right)}{x+5}$
$$\frac{3\left(x-2\right)\left(x^{2}+2x+4\right)}{\left(x-2\right)\left(x+5\right)}$$
$$\frac{3\left(x^{2}+2x+4\right)}{x+5}$$
$$\frac{3x^{2}+6x+12}{x+5}$$
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