Simplify 8/(n-2)*(5n+50)/(n+10)

$\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}$

Step 1

Factor $5$ out of $5 n + 50$ .

Factor $5$ out of $5 n$ .

$\frac{8}{n - 2} \cdot \frac{5 (n) + 50}{n + 10}$

Factor $5$ out of $50$ .

$\frac{8}{n - 2} \cdot \frac{5 n + 5 \cdot 10}{n + 10}$

Factor $5$ out of $5 n + 5 \cdot 10$ .

$\frac{8}{n - 2} \cdot \frac{5 (n + 10)}{n + 10}$

Step 2

Cancel the common factor of $n + 10$ .

Cancel the common factor.

$\frac{8}{n - 2} \cdot \frac{5 (n + 10)}{n + 10}$

Divide $5$ by $1$ .

$\frac{8}{n - 2} \cdot 5$

Step 3

Multiply $\frac{8}{n - 2} \cdot 5$ .

Combine $\frac{8}{n - 2}$ and $5$ .

$\frac{8 \cdot 5}{n - 2}$

Multiply $8$ by $5$ .

$\frac{40}{n - 2}$