Simplify (kx+k^2)/(x^2)*x/(x+k)

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

Step 1

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

Factor $k$ out of $k x$ .

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

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

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

Factor $k$ out of $k (x) + k \cdot k$ .

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

Step 2

Cancel the common factor of $x + k$ .

Factor $x + k$ out of $k (x + k)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

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

$\frac{k}{x \cdot x} \cdot x$

Cancel the common factor.

$\frac{k}{x \cdot x} \cdot x$

Rewrite the expression.

$\frac{k}{x}$