Simplify (18x^4-9x^2+12x)/(3x^2)

$\frac{18 x^{4} - 9 x^{2} + 12 x}{3 x^{2}}$

Step 1

Factor $3 x$ out of $18 x^{4} - 9 x^{2} + 12 x$ .

Factor $3 x$ out of $18 x^{4}$ .

$\frac{3 x (6 x^{3}) - 9 x^{2} + 12 x}{3 x^{2}}$

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

$\frac{3 x (6 x^{3}) + 3 x (- 3 x) + 12 x}{3 x^{2}}$

Factor $3 x$ out of $12 x$ .

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

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

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

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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