Simplify (7x)/(x^2-5x)+(x^2)/(x-5)

$\frac{7 x}{x^{2} - 5 x} + \frac{x^{2}}{x - 5}$

Simplify each term.

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

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

$\frac{7 x}{x \cdot x - 5 x} + \frac{x^{2}}{x - 5}$

Factor $x$ out of $- 5 x$ .

$\frac{7 x}{x \cdot x + x \cdot - 5} + \frac{x^{2}}{x - 5}$

Factor $x$ out of $x \cdot x + x \cdot - 5$ .

$\frac{7 x}{x (x - 5)} + \frac{x^{2}}{x - 5}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{7 x}{x (x - 5)} + \frac{x^{2}}{x - 5}$

Rewrite the expression.

$\frac{7}{x - 5} + \frac{x^{2}}{x - 5}$

Combine the numerators over the common denominator.

$\frac{7 + x^{2}}{x - 5}$