Basic Math Examples

$\frac{8}{4 n^{2} - 16 n} \cdot \frac{1}{n - 4}$

Step 1

Factor $4 n$ out of $4 n^{2} - 16 n$ .

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Step 1.1

Factor $4 n$ out of $4 n^{2}$ .

$\frac{8}{4 n (n) - 16 n} \cdot \frac{1}{n - 4}$

Step 1.2

Factor $4 n$ out of $- 16 n$ .

$\frac{8}{4 n (n) + 4 n (- 4)} \cdot \frac{1}{n - 4}$

Step 1.3

Factor $4 n$ out of $4 n (n) + 4 n (- 4)$ .

$\frac{8}{4 n (n - 4)} \cdot \frac{1}{n - 4}$

Step 2

Cancel the common factor of $8$ and $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 2}{4 n (n - 4)} \cdot \frac{1}{n - 4}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4 n (n - 4)$ .

$\frac{4 \cdot 2}{4 (n (n - 4))} \cdot \frac{1}{n - 4}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 2}{4 (n (n - 4))} \cdot \frac{1}{n - 4}$

Step 2.2.3

Rewrite the expression.

$\frac{2}{n (n - 4)} \cdot \frac{1}{n - 4}$

Step 3

Multiply $\frac{2}{n (n - 4)} \cdot \frac{1}{n - 4}$ .

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Step 3.1

Multiply $\frac{2}{n (n - 4)}$ by $\frac{1}{n - 4}$ .

$\frac{2}{n (n - 4) (n - 4)}$

Step 3.2

Raise $n - 4$ to the power of $1$ .

$\frac{2}{n ({(n - 4)}^{1} (n - 4))}$

Step 3.3

Raise $n - 4$ to the power of $1$ .

$\frac{2}{n ({(n - 4)}^{1} {(n - 4)}^{1})}$

Step 3.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2}{n {(n - 4)}^{1 + 1}}$

Step 3.5

Add $1$ and $1$ .

$\frac{2}{n {(n - 4)}^{2}}$