Basic Math Examples

$\frac{9 n + 36}{8 n^{3} + 32 n^{2}}$

Step 1

Factor $9$ out of $9 n + 36$ .

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Step 1.1

Factor $9$ out of $9 n$ .

$\frac{9 (n) + 36}{8 n^{3} + 32 n^{2}}$

Step 1.2

Factor $9$ out of $36$ .

$\frac{9 n + 9 \cdot 4}{8 n^{3} + 32 n^{2}}$

Step 1.3

Factor $9$ out of $9 n + 9 \cdot 4$ .

$\frac{9 (n + 4)}{8 n^{3} + 32 n^{2}}$

$\frac{9 (n + 4)}{8 n^{3} + 32 n^{2}}$

Step 2

Factor $8 n^{2}$ out of $8 n^{3} + 32 n^{2}$ .

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Step 2.1

Factor $8 n^{2}$ out of $8 n^{3}$ .

$\frac{9 (n + 4)}{8 n^{2} (n) + 32 n^{2}}$

Step 2.2

Factor $8 n^{2}$ out of $32 n^{2}$ .

$\frac{9 (n + 4)}{8 n^{2} (n) + 8 n^{2} (4)}$

Step 2.3

Factor $8 n^{2}$ out of $8 n^{2} (n) + 8 n^{2} (4)$ .

$\frac{9 (n + 4)}{8 n^{2} (n + 4)}$

$\frac{9 (n + 4)}{8 n^{2} (n + 4)}$

Step 3

Cancel the common factor of $n + 4$ .

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Step 3.1

Cancel the common factor.

$\frac{9 (n + 4)}{8 n^{2} (n + 4)}$

Step 3.2

Rewrite the expression.

$\frac{9}{8 n^{2}}$

$\frac{9}{8 n^{2}}$

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