Basic Math Examples

$- \frac{4}{3} \cdot (9 v + \frac{3}{2})$

Step 1

Factor.

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Step 1.1

Factor $3$ out of $9 v + \frac{3}{2}$ .

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Step 1.1.1

Factor $3$ out of $9 v$ .

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

Step 1.1.2

Factor $3$ out of $\frac{3}{2}$ .

$- \frac{4}{3} \cdot (3 (3 v) + 3 (\frac{1}{2}))$

Step 1.1.3

Factor $3$ out of $3 (3 v) + 3 (\frac{1}{2})$ .

$- \frac{4}{3} \cdot (3 (3 v + \frac{1}{2}))$

$- \frac{4}{3} \cdot (3 (3 v + \frac{1}{2}))$

Step 1.2

Remove unnecessary parentheses.

$- \frac{4}{3} \cdot 3 (3 v + \frac{1}{2})$

$- \frac{4}{3} \cdot 3 (3 v + \frac{1}{2})$

Step 2

Combine exponents.

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Step 2.1

Multiply $3$ by $- 1$ .

$- 3 (\frac{4}{3}) (3 v + \frac{1}{2})$

Step 2.2

Combine $- 3$ and $\frac{4}{3}$ .

$\frac{- 3 \cdot 4}{3} (3 v + \frac{1}{2})$

Step 2.3

Multiply $- 3$ by $4$ .

$\frac{- 12}{3} (3 v + \frac{1}{2})$

$\frac{- 12}{3} (3 v + \frac{1}{2})$

Step 3

Divide $- 12$ by $3$ .

$- 4 \cdot (3 v + \frac{1}{2})$

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