Simplify (7x^3+x^2+x)/(x^2+1)

$\frac{7 x^{3} + x^{2} + x}{x^{2} + 1}$

Step 1

Factor $x$ out of $7 x^{3}$ .

$\frac{x (7 x^{2}) + x^{2} + x}{x^{2} + 1}$

Step 2

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

$\frac{x (7 x^{2}) + x \cdot x + x}{x^{2} + 1}$

Step 3

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

$\frac{x (7 x^{2}) + x \cdot x + x^{1}}{x^{2} + 1}$

Step 4

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

$\frac{x (7 x^{2}) + x \cdot x + x \cdot 1}{x^{2} + 1}$

Step 5

Factor $x$ out of $x (7 x^{2}) + x \cdot x$ .

$\frac{x (7 x^{2} + x) + x \cdot 1}{x^{2} + 1}$

Step 6

Factor $x$ out of $x (7 x^{2} + x) + x \cdot 1$ .

$\frac{x (7 x^{2} + x + 1)}{x^{2} + 1}$