Divide (3x^2-10)/x

$\frac{3 x^{2} - 10}{x}$

Step 1

Split the fraction $\frac{3 x^{2} - 10}{x}$ into two fractions.

$\frac{3 x^{2}}{x} + \frac{- 10}{x}$

Step 2

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

Factor $x$ out of $3 x^{2}$ .

$\frac{x (3 x)}{x} + \frac{- 10}{x}$

Cancel the common factors.

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

$\frac{x (3 x)}{x^{1}} + \frac{- 10}{x}$

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

$\frac{x (3 x)}{x \cdot 1} + \frac{- 10}{x}$

Cancel the common factor.

$\frac{x (3 x)}{x \cdot 1} + \frac{- 10}{x}$

Rewrite the expression.

$\frac{3 x}{1} + \frac{- 10}{x}$

Divide $3 x$ by $1$ .

$3 x + \frac{- 10}{x}$

Step 3

Move the negative in front of the fraction.

$3 x - \frac{10}{x}$