Algebra Examples

$\frac{12 (30 - (9 + 4^{2}))}{| 10 | - | - 6 |}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $4$ to the power of $2$ .

$\frac{12 (30 - (9 + 16))}{| 10 | - | - 6 |}$

Step 1.2

Add $9$ and $16$ .

$\frac{12 (30 - 1 \cdot 25)}{| 10 | - | - 6 |}$

Step 1.3

Multiply $- 1$ by $25$ .

$\frac{12 (30 - 25)}{| 10 | - | - 6 |}$

Step 1.4

Subtract $25$ from $30$ .

$\frac{12 \cdot 5}{| 10 | - | - 6 |}$

Step 2

Simplify the denominator.

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Step 2.1

The absolute value is the distance between a number and zero. The distance between $0$ and $10$ is $10$ .

$\frac{12 \cdot 5}{10 - | - 6 |}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $- 6$ and $0$ is $6$ .

$\frac{12 \cdot 5}{10 - 1 \cdot 6}$

Step 2.3

Multiply $- 1$ by $6$ .

$\frac{12 \cdot 5}{10 - 6}$

Step 2.4

Subtract $6$ from $10$ .

$\frac{12 \cdot 5}{4}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $12$ by $5$ .

$\frac{60}{4}$

Step 3.2

Divide $60$ by $4$ .

$15$