Simplify (2x^2-8x)/(x-4)*(x+2)/(8x)

$\frac{2 x^{2} - 8 x}{x - 4} \cdot \frac{x + 2}{8 x}$

Factor $2 x$ out of $2 x^{2} - 8 x$ .

Factor $2 x$ out of $2 x^{2}$ .

$\frac{2 x (x) - 8 x}{x - 4} \cdot \frac{x + 2}{8 x}$

Factor $2 x$ out of $- 8 x$ .

$\frac{2 x (x) + 2 x (- 4)}{x - 4} \cdot \frac{x + 2}{8 x}$

Factor $2 x$ out of $2 x (x) + 2 x (- 4)$ .

$\frac{2 x (x - 4)}{x - 4} \cdot \frac{x + 2}{8 x}$

Cancel the common factor of $2 x$ .

Factor $2 x$ out of $8 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{x - 4}{x - 4}$ by $\frac{x + 2}{4}$ .

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

Cancel the common factor of $x - 4$ .

Cancel the common factor.

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

Rewrite the expression.

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