Algebra Examples

$\frac{12 x^{3} - 8 x^{2}}{2 x^{2}}$

Step 1

Factor $4 x^{2}$ out of $12 x^{3} - 8 x^{2}$ .

Tap for more steps...

Step 1.1

Factor $4 x^{2}$ out of $12 x^{3}$ .

$\frac{4 x^{2} (3 x) - 8 x^{2}}{2 x^{2}}$

Step 1.2

Factor $4 x^{2}$ out of $- 8 x^{2}$ .

$\frac{4 x^{2} (3 x) + 4 x^{2} (- 2)}{2 x^{2}}$

Step 1.3

Factor $4 x^{2}$ out of $4 x^{2} (3 x) + 4 x^{2} (- 2)$ .

$\frac{4 x^{2} (3 x - 2)}{2 x^{2}}$

$\frac{4 x^{2} (3 x - 2)}{2 x^{2}}$

Step 2

Cancel the common factor of $4$ and $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $4 x^{2} (3 x - 2)$ .

$\frac{2 (2 x^{2} (3 x - 2))}{2 x^{2}}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $2$ out of $2 x^{2}$ .

$\frac{2 (2 x^{2} (3 x - 2))}{2 (x^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 x^{2} (3 x - 2))}{2 x^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x^{2} (3 x - 2)}{x^{2}}$

$\frac{2 x^{2} (3 x - 2)}{x^{2}}$

$\frac{2 x^{2} (3 x - 2)}{x^{2}}$

Step 3

Cancel the common factor of $x^{2}$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{2 x^{2} (3 x - 2)}{x^{2}}$

Step 3.2

Divide $2 (3 x - 2)$ by $1$ .

$2 (3 x - 2)$

$2 (3 x - 2)$

Step 4

Apply the distributive property.

$2 (3 x) + 2 \cdot - 2$

Step 5

Multiply.

Tap for more steps...

Step 5.1

Multiply $3$ by $2$ .

$6 x + 2 \cdot - 2$

Step 5.2

Multiply $2$ by $- 2$ .

$6 x - 4$

$6 x - 4$

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