Simplify (5x^3-2x^2)/(x^5)

$\frac{5 x^{3} - 2 x^{2}}{x^{5}}$

Step 1

Factor $x^{2}$ out of $5 x^{3} - 2 x^{2}$ .

Factor $x^{2}$ out of $5 x^{3}$ .

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

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

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

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

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

Step 2

Cancel the common factors.

Factor $x^{2}$ out of $x^{5}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{5 x - 2}{x^{3}}$