Finite Math Examples

$\frac{12 x^{3} - 18 x^{2} + 9 x}{9 x}$

Step 1

Factor $3 x$ out of $12 x^{3} - 18 x^{2} + 9 x$ .

Tap for more steps...

Step 1.1

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

$\frac{3 x (4 x^{2}) - 18 x^{2} + 9 x}{9 x}$

Step 1.2

Factor $3 x$ out of $- 18 x^{2}$ .

$\frac{3 x (4 x^{2}) + 3 x (- 6 x) + 9 x}{9 x}$

Step 1.3

Factor $3 x$ out of $9 x$ .

$\frac{3 x (4 x^{2}) + 3 x (- 6 x) + 3 x (3)}{9 x}$

Step 1.4

Factor $3 x$ out of $3 x (4 x^{2}) + 3 x (- 6 x)$ .

$\frac{3 x (4 x^{2} - 6 x) + 3 x (3)}{9 x}$

Step 1.5

Factor $3 x$ out of $3 x (4 x^{2} - 6 x) + 3 x (3)$ .

$\frac{3 x (4 x^{2} - 6 x + 3)}{9 x}$

Step 2

Reduce the expression $\frac{3 x (4 x^{2} - 6 x + 3)}{9 x}$ by cancelling the common factors.

Tap for more steps...

Step 2.1

Factor $3$ out of $3 x (4 x^{2} - 6 x + 3)$ .

$\frac{3 (x (4 x^{2} - 6 x + 3))}{9 x}$

Step 2.2

Factor $3$ out of $9 x$ .

$\frac{3 (x (4 x^{2} - 6 x + 3))}{3 (3 x)}$

Step 2.3

Cancel the common factor.

$\frac{3 (x (4 x^{2} - 6 x + 3))}{3 (3 x)}$

Step 2.4

Rewrite the expression.

$\frac{x (4 x^{2} - 6 x + 3)}{3 x}$

Step 3

Reduce the expression $\frac{x (4 x^{2} - 6 x + 3)}{3 x}$ by cancelling the common factors.

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{x (4 x^{2} - 6 x + 3)}{3 x}$

Step 3.2

Rewrite the expression.

$\frac{4 x^{2} - 6 x + 3}{3}$