Simplify (2x^2)/(10x^3-2x^2)

$\frac{2 x^{2}}{10 x^{3} - 2 x^{2}}$

Step 1

Factor $2 x^{2}$ out of $10 x^{3} - 2 x^{2}$ .

Factor $2 x^{2}$ out of $10 x^{3}$ .

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

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

$\frac{2 x^{2}}{2 x^{2} (5 x) + 2 x^{2} (- 1)}$

Factor $2 x^{2}$ out of $2 x^{2} (5 x) + 2 x^{2} (- 1)$ .

$\frac{2 x^{2}}{2 x^{2} (5 x - 1)}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x^{2}}{2 x^{2} (5 x - 1)}$

Rewrite the expression.

$\frac{x^{2}}{x^{2} (5 x - 1)}$

Step 3

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{x^{2}}{x^{2} (5 x - 1)}$

Rewrite the expression.

$\frac{1}{5 x - 1}$