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

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

Step 1

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

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

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

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

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

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

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

Factor $x$ out of $x \cdot x + x \cdot 1$ .

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

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

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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