$$\frac{x^{2}-4}{x^{2}+3x-10}\times\frac{x^{2}+2x-15}{x^{2}-x-6}=$$
$1$
$$\frac{\left(x-2\right)\left(x+2\right)}{\left(x-2\right)\left(x+5\right)}\times \frac{x^{2}+2x-15}{x^{2}-x-6}$$
$$\frac{x+2}{x+5}\times \frac{x^{2}+2x-15}{x^{2}-x-6}$$
$$\frac{x+2}{x+5}\times \frac{\left(x-3\right)\left(x+5\right)}{\left(x-3\right)\left(x+2\right)}$$
$$\frac{x+2}{x+5}\times \frac{x+5}{x+2}$$
$$\frac{\left(x+2\right)\left(x+5\right)}{\left(x+5\right)\left(x+2\right)}$$
$$1$$
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