Basic Math Examples

$- {(4 - 8)}^{2} \cdot 6 \div (- 4)$

Step 1

Rewrite the division as a fraction.

$\frac{- {(4 - 8)}^{2} \cdot 6}{- 4}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $6$ and $- 4$ .

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Step 2.1.1

Factor $2$ out of $- {(4 - 8)}^{2} \cdot 6$ .

$\frac{2 (- {(4 - 8)}^{2} \cdot 3)}{- 4}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $- 4$ .

$\frac{2 (- {(4 - 8)}^{2} \cdot 3)}{2 (- 2)}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 (- {(4 - 8)}^{2} \cdot 3)}{2 \cdot - 2}$

Step 2.1.2.3

Rewrite the expression.

$\frac{- {(4 - 8)}^{2} \cdot 3}{- 2}$

$\frac{- {(4 - 8)}^{2} \cdot 3}{- 2}$

$\frac{- {(4 - 8)}^{2} \cdot 3}{- 2}$

Step 2.2

Multiply $3$ by $- 1$ .

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

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

Step 3

Simplify the numerator.

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Step 3.1

Subtract $8$ from $4$ .

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

Step 3.2

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

$\frac{- 3 \cdot 16}{- 2}$

$\frac{- 3 \cdot 16}{- 2}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 3$ by $16$ .

$\frac{- 48}{- 2}$

Step 4.2

Divide $- 48$ by $- 2$ .

$24$

$24$

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