Find the Product (4n)/(4n-4)*(n-1)/(n+1)

$\frac{4 n}{4 n - 4} \cdot \frac{n - 1}{n + 1}$

Step 1

Factor $4$ out of $4 n - 4$ .

Factor $4$ out of $4 n$ .

$\frac{4 n}{4 (n) - 4} \cdot \frac{n - 1}{n + 1}$

Factor $4$ out of $- 4$ .

$\frac{4 n}{4 (n) + 4 (- 1)} \cdot \frac{n - 1}{n + 1}$

Factor $4$ out of $4 (n) + 4 (- 1)$ .

$\frac{4 n}{4 (n - 1)} \cdot \frac{n - 1}{n + 1}$

Step 2

Cancel the common factor of $n - 1$ .

Factor $n - 1$ out of $4 (n - 1)$ .

$\frac{4 n}{(n - 1) \cdot 4} \cdot \frac{n - 1}{n + 1}$

Cancel the common factor.

$\frac{4 n}{(n - 1) \cdot 4} \cdot \frac{n - 1}{n + 1}$

Rewrite the expression.

$\frac{4 n}{4} \cdot \frac{1}{n + 1}$

Step 3

Multiply $\frac{4 n}{4}$ by $\frac{1}{n + 1}$ .

$\frac{4 n}{4 (n + 1)}$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 n}{4 (n + 1)}$

Rewrite the expression.

$\frac{n}{n + 1}$