Simplify (x+2)/(3(x+1))*(9(x-1))/(x+2)

$\frac{x + 2}{3 (x + 1)} \cdot \frac{9 (x - 1)}{x + 2}$

Cancel the common factor of $x + 2$ .

Cancel the common factor.

$\frac{x + 2}{3 (x + 1)} \cdot \frac{9 (x - 1)}{x + 2}$

Rewrite the expression.

$\frac{1}{3 (x + 1)} \cdot (9 (x - 1))$

Cancel the common factor of $3$ .

Factor $3$ out of $9 (x - 1)$ .

$\frac{1}{3 (x + 1)} \cdot (3 (3 (x - 1)))$

Cancel the common factor.

$\frac{1}{3 (x + 1)} \cdot (3 (3 (x - 1)))$

Rewrite the expression.

$\frac{1}{x + 1} \cdot (3 (x - 1))$

Combine $3$ and $\frac{1}{x + 1}$ .

$\frac{3}{x + 1} \cdot (x - 1)$

Multiply $\frac{3}{x + 1}$ by $x - 1$ .

$\frac{3 (x - 1)}{x + 1}$