Pre-Algebra Examples

$2 (2 - x^{3}) \div 3 x$

Step 1

Rewrite the division as a fraction.

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

Step 2

Apply the distributive property.

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

Step 3

Multiply $2$ by $2$ .

$\frac{4 + 2 (- x^{3})}{3 x}$

Step 4

Multiply $- 1$ by $2$ .

$\frac{4 - 2 x^{3}}{3 x}$

Step 5

Split the fraction $\frac{4 - 2 x^{3}}{3 x}$ into two fractions.

$\frac{4}{3 x} + \frac{- 2 x^{3}}{3 x}$

Step 6

Cancel the common factor of $x^{3}$ and $x$ .

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Step 6.1

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

$\frac{4}{3 x} + \frac{x (- 2 x^{2})}{3 x}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $x$ out of $3 x$ .

$\frac{4}{3 x} + \frac{x (- 2 x^{2})}{x \cdot 3}$

Step 6.2.2

Cancel the common factor.

$\frac{4}{3 x} + \frac{x (- 2 x^{2})}{x \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{4}{3 x} + \frac{- 2 x^{2}}{3}$

$\frac{4}{3 x} + \frac{- 2 x^{2}}{3}$

$\frac{4}{3 x} + \frac{- 2 x^{2}}{3}$

Step 7

Move the negative in front of the fraction.

$\frac{4}{3 x} - \frac{2 x^{2}}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$