Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Raise $- 2$ to the power of $3$ .

$\frac{2}{3} \cdot - 8 + \frac{1}{3} \cdot (- 2)$

Step 1.2

Multiply $\frac{2}{3} \cdot - 8$ .

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Step 1.2.1

Combine $\frac{2}{3}$ and $- 8$ .

$\frac{2 \cdot - 8}{3} + \frac{1}{3} \cdot (- 2)$

Step 1.2.2

Multiply $2$ by $- 8$ .

$\frac{- 16}{3} + \frac{1}{3} \cdot (- 2)$

$\frac{- 16}{3} + \frac{1}{3} \cdot (- 2)$

Step 1.3

Move the negative in front of the fraction.

$- \frac{16}{3} + \frac{1}{3} \cdot (- 2)$

Step 1.4

Combine $\frac{1}{3}$ and $- 2$ .

$- \frac{16}{3} + \frac{- 2}{3}$

Step 1.5

Move the negative in front of the fraction.

$- \frac{16}{3} - \frac{2}{3}$

$- \frac{16}{3} - \frac{2}{3}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- 16 - 2}{3}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $2$ from $- 16$ .

$\frac{- 18}{3}$

Step 2.2.2

Divide $- 18$ by $3$ .

$- 6$

$- 6$

$- 6$

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