Pre-Algebra Examples

$\frac{6 a^{3} - 2 a^{2} + 6}{2 a}$

Step 1

Factor $2$ out of $6 a^{3}$ .

$\frac{2 (3 a^{3}) - 2 a^{2} + 6}{2 a}$

Step 2

Factor $2$ out of $- 2 a^{2}$ .

$\frac{2 (3 a^{3}) + 2 (- a^{2}) + 6}{2 a}$

Step 3

Factor $2$ out of $2 (3 a^{3}) + 2 (- a^{2})$ .

$\frac{2 (3 a^{3} - a^{2}) + 6}{2 a}$

Step 4

Factor $2$ out of $6$ .

$\frac{2 (3 a^{3} - a^{2}) + 2 \cdot 3}{2 a}$

Step 5

Factor $2$ out of $2 (3 a^{3} - a^{2}) + 2 (3)$ .

$\frac{2 (3 a^{3} - a^{2} + 3)}{2 a}$

Step 6

Cancel the common factors.

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Step 6.1

Factor $2$ out of $2 a$ .

$\frac{2 (3 a^{3} - a^{2} + 3)}{2 (a)}$

Step 6.2

Cancel the common factor.

$\frac{2 (3 a^{3} - a^{2} + 3)}{2 a}$

Step 6.3

Rewrite the expression.

$\frac{3 a^{3} - a^{2} + 3}{a}$

$\frac{3 a^{3} - a^{2} + 3}{a}$

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