Simplify (16x^4-8x^2+12x)/(4x^2)

$\frac{16 x^{4} - 8 x^{2} + 12 x}{4 x^{2}}$

Step 1

Factor $4 x$ out of $16 x^{4} - 8 x^{2} + 12 x$ .

Factor $4 x$ out of $16 x^{4}$ .

$\frac{4 x (4 x^{3}) - 8 x^{2} + 12 x}{4 x^{2}}$

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

$\frac{4 x (4 x^{3}) + 4 x (- 2 x) + 12 x}{4 x^{2}}$

Factor $4 x$ out of $12 x$ .

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

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

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

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

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

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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