$$\frac{x^{2}+7x+10}{3x+6}\cdot\frac{6x-6}{x^{2}+2x-15}$$
$\frac{2\left(x-1\right)}{x-3}$
$$\frac{\left(x+2\right)\left(x+5\right)}{3\left(x+2\right)}\times \frac{6x-6}{x^{2}+2x-15}$$
$$\frac{x+5}{3}\times \frac{6x-6}{x^{2}+2x-15}$$
$$\frac{\left(x+5\right)\left(6x-6\right)}{3\left(x^{2}+2x-15\right)}$$
$$\frac{6\left(x-1\right)\left(x+5\right)}{3\left(x-3\right)\left(x+5\right)}$$
$$\frac{2\left(x-1\right)}{x-3}$$
$$\frac{2x-2}{x-3}$$
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