Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Factor $k$ out of $k m$ .

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

Step 1.3

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

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

Step 2

Cancel the common factor of $k + m$ .

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Step 2.1

Factor $k + m$ out of ${(k + m)}^{2}$ .

$\frac{(k + m) (k + m)}{k - m} \cdot \frac{k}{k (k + m)}$

Step 2.2

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

$\frac{(k + m) (k + m)}{k - m} \cdot \frac{k}{(k + m) k}$

Step 2.3

Cancel the common factor.

$\frac{(k + m) (k + m)}{k - m} \cdot \frac{k}{(k + m) k}$

Step 2.4

Rewrite the expression.

$\frac{k + m}{k - m} \cdot \frac{k}{k}$

Step 3

Multiply $\frac{k + m}{k - m}$ by $\frac{k}{k}$ .

$\frac{(k + m) k}{(k - m) k}$

Step 4

Cancel the common factor of $k$ .

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Step 4.1

Cancel the common factor.

$\frac{(k + m) k}{(k - m) k}$

Step 4.2

Rewrite the expression.

$\frac{k + m}{k - m}$