Simplify (x^3)/(x^2+1)+x/(x^2+1)

$\frac{x^{3}}{x^{2} + 1} + \frac{x}{x^{2} + 1}$

Combine the numerators over the common denominator.

$\frac{x^{3} + x}{x^{2} + 1}$

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

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

$\frac{x \cdot x^{2} + x}{x^{2} + 1}$

Raise $x$ to the power of $1$ .

$\frac{x \cdot x^{2} + x^{1}}{x^{2} + 1}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot x^{2} + x \cdot 1}{x^{2} + 1}$

Factor $x$ out of $x \cdot x^{2} + x \cdot 1$ .

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

Cancel the common factor of $x^{2} + 1$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$x$