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

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

Combine the numerators over the common denominator.

$\frac{x^{2} - (2 x + 1)}{3 x}$

Simplify each term.

Apply the distributive property.

$\frac{x^{2} - (2 x) - 1 \cdot 1}{3 x}$

Multiply $2$ by $- 1$ .

$\frac{x^{2} - 2 x - 1 \cdot 1}{3 x}$

Multiply $- 1$ by $1$ .

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