Algebra Examples

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

Step 1

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

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Step 1.1

Factor $k$ out of $k x$ .

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

Step 1.2

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

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

Step 1.3

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 $x + k$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{k}{x}$