$$\frac{4x^{2}-10x+6}{2x^{2}+x-3}$$
$\frac{2\left(2x-3\right)}{2x+3}$
$$\frac{2\left(x-1\right)\left(2x-3\right)}{\left(x-1\right)\left(2x+3\right)}$$
$$\frac{2\left(2x-3\right)}{2x+3}$$
$$\frac{4x-6}{2x+3}$$
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