Simplify (x+2)/(x-3)*4/(x+2)

$\frac{x + 2}{x - 3} \cdot \frac{4}{x + 2}$

Cancel the common factor of $x + 2$ .

Cancel the common factor.

$\frac{x + 2}{x - 3} \cdot \frac{4}{x + 2}$

Rewrite the expression.

$\frac{1}{x - 3} \cdot 4$

Combine $\frac{1}{x - 3}$ and $4$ .

$\frac{4}{x - 3}$