Algebra Examples

$\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}$

Step 1

Factor $5$ out of $5 n + 50$ .

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Step 1.1

Factor $5$ out of $5 n$ .

$\frac{8}{n - 2} \cdot \frac{5 (n) + 50}{n + 10}$

Step 1.2

Factor $5$ out of $50$ .

$\frac{8}{n - 2} \cdot \frac{5 n + 5 \cdot 10}{n + 10}$

Step 1.3

Factor $5$ out of $5 n + 5 \cdot 10$ .

$\frac{8}{n - 2} \cdot \frac{5 (n + 10)}{n + 10}$

$\frac{8}{n - 2} \cdot \frac{5 (n + 10)}{n + 10}$

Step 2

Cancel the common factor of $n + 10$ .

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Step 2.1

Cancel the common factor.

$\frac{8}{n - 2} \cdot \frac{5 (n + 10)}{n + 10}$

Step 2.2

Divide $5$ by $1$ .

$\frac{8}{n - 2} \cdot 5$

$\frac{8}{n - 2} \cdot 5$

Step 3

Multiply $\frac{8}{n - 2} \cdot 5$ .

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Step 3.1

Combine $\frac{8}{n - 2}$ and $5$ .

$\frac{8 \cdot 5}{n - 2}$

Step 3.2

Multiply $8$ by $5$ .

$\frac{40}{n - 2}$

$\frac{40}{n - 2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$