Simplify (6x^3)/(15x^4-60x^3)

$\frac{6 x^{3}}{15 x^{4} - 60 x^{3}}$

Factor $15 x^{3}$ out of $15 x^{4} - 60 x^{3}$ .

Factor $15 x^{3}$ out of $15 x^{4}$ .

$\frac{6 x^{3}}{15 x^{3} (x) - 60 x^{3}}$

Factor $15 x^{3}$ out of $- 60 x^{3}$ .

$\frac{6 x^{3}}{15 x^{3} (x) + 15 x^{3} (- 4)}$

Factor $15 x^{3}$ out of $15 x^{3} (x) + 15 x^{3} (- 4)$ .

$\frac{6 x^{3}}{15 x^{3} (x - 4)}$

Cancel the common factor of $6$ and $15$ .

Factor $3$ out of $6 x^{3}$ .

$\frac{3 (2 x^{3})}{15 x^{3} (x - 4)}$

Cancel the common factors.

Factor $3$ out of $15 x^{3} (x - 4)$ .

$\frac{3 (2 x^{3})}{3 (5 x^{3} (x - 4))}$

Cancel the common factor.

$\frac{3 (2 x^{3})}{3 (5 x^{3} (x - 4))}$

Rewrite the expression.

$\frac{2 x^{3}}{5 x^{3} (x - 4)}$

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{2 x^{3}}{5 x^{3} (x - 4)}$

Rewrite the expression.

$\frac{2}{5 (x - 4)}$