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

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

Simplify the numerator.

Factor $x$ out of $x^{5} + 7 x^{7} + 5 x$ .

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

$\frac{x \cdot x^{4} + 7 x^{7} + 5 x}{x^{5}}$

Factor $x$ out of $7 x^{7}$ .

$\frac{x \cdot x^{4} + x (7 x^{6}) + 5 x}{x^{5}}$

Factor $x$ out of $5 x$ .

$\frac{x \cdot x^{4} + x (7 x^{6}) + x \cdot 5}{x^{5}}$

Factor $x$ out of $x \cdot x^{4} + x (7 x^{6})$ .

$\frac{x (x^{4} + 7 x^{6}) + x \cdot 5}{x^{5}}$

Factor $x$ out of $x (x^{4} + 7 x^{6}) + x \cdot 5$ .

$\frac{x (x^{4} + 7 x^{6} + 5)}{x^{5}}$

Reorder terms.

$\frac{x (7 x^{6} + x^{4} + 5)}{x^{5}}$

Cancel the common factors.

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

$\frac{x (7 x^{6} + x^{4} + 5)}{x \cdot x^{4}}$

Cancel the common factor.

$\frac{x (7 x^{6} + x^{4} + 5)}{x \cdot x^{4}}$

Rewrite the expression.

$\frac{7 x^{6} + x^{4} + 5}{x^{4}}$