$$\frac{\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}\times \frac{x^{2}-4}{x^{2}+2-30}$$

$$\frac{x-5}{x+2}\times \frac{x^{2}-4}{x^{2}+2-30}$$

$$\frac{x-5}{x+2}\times \frac{x^{2}-4}{x^{2}-28}$$

$$\frac{\left(x-5\right)\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-28\right)}$$

$$\frac{\left(x-5\right)\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(x^{2}-28\right)}$$

$$\frac{\left(x-5\right)\left(x-2\right)}{x^{2}-28}$$

$$\frac{x^{2}-7x+10}{x^{2}-28}$$

$$\frac{\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}\times \frac{x^{2}-4}{x^{2}+2-30}$$

$$\frac{x-5}{x+2}\times \frac{x^{2}-4}{x^{2}+2-30}$$

$$\frac{x-5}{x+2}\times \frac{x^{2}-4}{x^{2}-28}$$

$$\frac{\left(x-5\right)\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-28\right)}$$

$$\frac{\left(x-5\right)\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(x^{2}-28\right)}$$

$$\frac{\left(x-5\right)\left(x-2\right)}{x^{2}-28}$$

$$\frac{x^{2}-7x+10}{x^{2}-28}$$