Simplify (5x^3+x)/x

$\frac{5 x^{3} + x}{x}$

Step 1

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

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

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

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

$\frac{x (5 x^{2}) + x^{1}}{x}$

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

$\frac{x (5 x^{2}) + x \cdot 1}{x}$

Factor $x$ out of $x (5 x^{2}) + x \cdot 1$ .

$\frac{x (5 x^{2} + 1)}{x}$

$\frac{x (5 x^{2} + 1)}{x}$

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (5 x^{2} + 1)}{x}$

Divide $5 x^{2} + 1$ by $1$ .

$5 x^{2} + 1$

$5 x^{2} + 1$

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