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

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

Step 1

Cancel the common factor of $x - 4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Multiply $\frac{1}{x - 2}$ by $x + 2$ .

$\frac{x + 2}{x - 2}$