Pre-Algebra Examples

$\frac{2}{3} \cdot (6 x - 9) + 16$

Step 1

Factor $\frac{1}{3}$ out of each term.

$\frac{1}{3} \cdot (2 (6 x - 9) + 48)$

Step 2

Factor $2$ out of $2 \cdot (6 x - 9) + 48$ .

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Step 2.1

Factor $2$ out of $48$ .

$\frac{1}{3} \cdot (2 (6 x - 9) + 2 \cdot 24)$

Step 2.2

Factor $2$ out of $2 (6 x - 9) + 2 \cdot 24$ .

$\frac{1}{3} \cdot (2 (6 x - 9 + 24))$

$\frac{1}{3} \cdot (2 (6 x - 9 + 24))$

Step 3

Add $- 9$ and $24$ .

$\frac{1}{3} \cdot (2 (6 x + 15))$

Step 4

Factor.

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Step 4.1

Factor $3$ out of $6 x + 15$ .

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Step 4.1.1

Factor $3$ out of $6 x$ .

$\frac{1}{3} \cdot (2 (3 (2 x) + 15))$

Step 4.1.2

Factor $3$ out of $15$ .

$\frac{1}{3} \cdot (2 (3 (2 x) + 3 (5)))$

Step 4.1.3

Factor $3$ out of $3 (2 x) + 3 (5)$ .

$\frac{1}{3} \cdot (2 (3 (2 x + 5)))$

$\frac{1}{3} \cdot (2 (3 (2 x + 5)))$

Step 4.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot (2 \cdot 3 (2 x + 5))$

$\frac{1}{3} \cdot (2 \cdot 3 (2 x + 5))$

Step 5

Factor.

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Step 5.1

Multiply $2$ by $3$ .

$\frac{1}{3} \cdot (6 (2 x + 5))$

Step 5.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot 6 (2 x + 5)$

$\frac{1}{3} \cdot 6 (2 x + 5)$

Step 6

Combine $\frac{1}{3}$ and $6$ .

$\frac{6}{3} (2 x + 5)$

Step 7

Divide $6$ by $3$ .

$2 \cdot (2 x + 5)$

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