$$\frac{ x }{ x+3 } \times \frac{ x-1 }{ x-2 }$$
$\frac{x\left(x-1\right)}{\left(x-2\right)\left(x+3\right)}$
$$\frac{x\left(x-1\right)}{\left(x+3\right)\left(x-2\right)}$$
$$\frac{x^{2}-x}{\left(x+3\right)\left(x-2\right)}$$
$$\frac{x^{2}-x}{x^{2}-2x+3x-6}$$
$$\frac{x^{2}-x}{x^{2}+x-6}$$
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$\frac{x^{2}-x}{\left(x-2\right)\left(x+3\right)}$