Algebra Examples

${| \frac{2 (14 - 12)}{2} |}^{3} - | 3 - 6 |$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Cancel the common factor.

${| \frac{2 (14 - 12)}{2} |}^{3} - | 3 - 6 |$

Step 1.1.2

Divide $14 - 12$ by $1$ .

${| 14 - 12 |}^{3} - | 3 - 6 |$

Step 1.2

Subtract $12$ from $14$ .

${| 2 |}^{3} - | 3 - 6 |$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2^{3} - | 3 - 6 |$

Step 1.4

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

$8 - | 3 - 6 |$

Step 1.5

Subtract $6$ from $3$ .

$8 - | - 3 |$

Step 1.6

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$8 - 1 \cdot 3$

Step 1.7

Multiply $- 1$ by $3$ .

$8 - 3$

Step 2

Subtract $3$ from $8$ .

$5$