Simplify (x+8)/(x^2)*(2x^2)/(2x+16)

$\frac{x + 8}{x^{2}} \cdot \frac{2 x^{2}}{2 x + 16}$

Step 1

Factor $2$ out of $2 x + 16$ .

Factor $2$ out of $2 x$ .

$\frac{x + 8}{x^{2}} \cdot \frac{2 x^{2}}{2 (x) + 16}$

Factor $2$ out of $16$ .

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

Factor $2$ out of $2 x + 2 \cdot 8$ .

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

Step 2

Cancel the common factor of $x + 8$ .

Factor $x + 8$ out of $2 (x + 8)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{x^{2}} \cdot \frac{2 x^{2}}{2}$

Step 3

Cancel the common factor of $x^{2}$ .

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

$\frac{1}{x^{2}} \cdot \frac{x^{2} \cdot 2}{2}$

Cancel the common factor.

$\frac{1}{x^{2}} \cdot \frac{x^{2} \cdot 2}{2}$

Rewrite the expression.

$\frac{2}{2}$

Step 4

Divide $2$ by $2$ .

$1$