Simplify (4x^4-x^3)/(8x-2)

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

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

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

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

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

$\frac{x^{3} (4 x) + x^{3} \cdot - 1}{8 x - 2}$

Factor $x^{3}$ out of $x^{3} (4 x) + x^{3} \cdot - 1$ .

$\frac{x^{3} (4 x - 1)}{8 x - 2}$

Factor $2$ out of $8 x - 2$ .

Factor $2$ out of $8 x$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x) - 2}$

Factor $2$ out of $- 2$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x) + 2 (- 1)}$

Factor $2$ out of $2 (4 x) + 2 (- 1)$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x - 1)}$

Cancel the common factor of $4 x - 1$ .

Cancel the common factor.

$\frac{x^{3} (4 x - 1)}{2 (4 x - 1)}$

Rewrite the expression.

$\frac{x^{3}}{2}$