$$\frac{x^{2}-49}{x^{2}+2x}\times\frac{x-2}{x-7}$$
$\frac{\left(x-2\right)\left(x+7\right)}{x\left(x+2\right)}$
$$\frac{\left(x^{2}-49\right)\left(x-2\right)}{\left(x^{2}+2x\right)\left(x-7\right)}$$
$$\frac{\left(x-7\right)\left(x-2\right)\left(x+7\right)}{x\left(x-7\right)\left(x+2\right)}$$
$$\frac{\left(x-2\right)\left(x+7\right)}{x\left(x+2\right)}$$
$$\frac{x^{2}+5x-14}{x^{2}+2x}$$
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$\frac{x^{2}+5x-14}{x^{2}+2x}$
