Finite Math Examples

$2 (18 - \frac{6 (3^{2} - 5)}{8 + 4})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $6$ and $8 + 4$ .

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Step 1.1.1

Factor $2$ out of $6 (3^{2} - 5)$ .

$2 (18 - \frac{2 (3 (3^{2} - 5))}{8 + 4})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $8$ .

$2 (18 - \frac{2 (3 (3^{2} - 5))}{2 (4) + 4})$

Step 1.1.2.2

Factor $2$ out of $4$ .

$2 (18 - \frac{2 (3 (3^{2} - 5))}{2 \cdot 4 + 2 \cdot 2})$

Step 1.1.2.3

Factor $2$ out of $2 \cdot 4 + 2 \cdot 2$ .

$2 (18 - \frac{2 (3 (3^{2} - 5))}{2 \cdot (4 + 2)})$

Step 1.1.2.4

Cancel the common factor.

$2 (18 - \frac{2 (3 (3^{2} - 5))}{2 \cdot (4 + 2)})$

Step 1.1.2.5

Rewrite the expression.

$2 (18 - \frac{3 (3^{2} - 5)}{4 + 2})$

Step 1.2

Simplify the numerator.

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Step 1.2.1

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

$2 (18 - \frac{3 (9 - 5)}{4 + 2})$

Step 1.2.2

Subtract $5$ from $9$ .

$2 (18 - \frac{3 \cdot 4}{4 + 2})$

Step 1.3

Add $4$ and $2$ .

$2 (18 - \frac{3 \cdot 4}{6})$

Step 1.4

Multiply $3$ by $4$ .

$2 (18 - \frac{12}{6})$

Step 1.5

Divide $12$ by $6$ .

$2 (18 - 1 \cdot 2)$

Step 1.6

Multiply $- 1$ by $2$ .

$2 (18 - 2)$

Step 2

Simplify the expression.

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Step 2.1

Subtract $2$ from $18$ .

$2 \cdot 16$

Step 2.2

Multiply $2$ by $16$ .

$32$