Simplify (5x^3)/(15x^4-15x^3)

$\frac{5 x^{3}}{15 x^{4} - 15 x^{3}}$

Step 1

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

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

$\frac{5 x^{3}}{15 x^{3} (x) - 15 x^{3}}$

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

$\frac{5 x^{3}}{15 x^{3} (x) + 15 x^{3} (- 1)}$

Factor $15 x^{3}$ out of $15 x^{3} (x) + 15 x^{3} (- 1)$ .

$\frac{5 x^{3}}{15 x^{3} (x - 1)}$

Step 2

Cancel the common factor of $5$ and $15$ .

Factor $5$ out of $5 x^{3}$ .

$\frac{5 (x^{3})}{15 x^{3} (x - 1)}$

Cancel the common factors.

Factor $5$ out of $15 x^{3} (x - 1)$ .

$\frac{5 (x^{3})}{5 (3 x^{3} (x - 1))}$

Cancel the common factor.

$\frac{5 x^{3}}{5 (3 x^{3} (x - 1))}$

Rewrite the expression.

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

Step 3

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3 (x - 1)}$