Basic Math Examples

$12 c^{2 + 8 c} \div 4 c$

Step 1

Rewrite the division as a fraction.

$\frac{12 c^{2 + 8 c}}{4 c}$

Step 2

Cancel the common factor of $12$ and $4$ .

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Step 2.1

Factor $4$ out of $12 c^{2 + 8 c}$ .

$\frac{4 (3 c^{2 + 8 c})}{4 c}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4 c$ .

$\frac{4 (3 c^{2 + 8 c})}{4 (c)}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (3 c^{2 + 8 c})}{4 c}$

Step 2.2.3

Rewrite the expression.

$\frac{3 c^{2 + 8 c}}{c}$

$\frac{3 c^{2 + 8 c}}{c}$

$\frac{3 c^{2 + 8 c}}{c}$

Step 3

Cancel the common factor of $c^{2 + 8 c}$ and $c$ .

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Step 3.1

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

$\frac{c (3 c^{8 c + 1})}{c}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Raise $c$ to the power of $1$ .

$\frac{c (3 c^{8 c + 1})}{c^{1}}$

Step 3.2.2

Factor $c$ out of $c^{1}$ .

$\frac{c (3 c^{8 c + 1})}{c \cdot 1}$

Step 3.2.3

Cancel the common factor.

$\frac{c (3 c^{8 c + 1})}{c \cdot 1}$

Step 3.2.4

Rewrite the expression.

$\frac{3 c^{8 c + 1}}{1}$

Step 3.2.5

Divide $3 c^{8 c + 1}$ by $1$ .

$3 c^{8 c + 1}$

$3 c^{8 c + 1}$

$3 c^{8 c + 1}$

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