Basic Math Examples

$- 4 {(1 + 5)}^{2} \div 6 - (42 + 5)$

Step 1

Add $1$ and $5$ .

$- 4 \cdot 6^{2} \div 6 - (42 + 5)$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$\frac{- 4 \cdot 6^{2}}{6} - (42 + 5)$

Step 2.2

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

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Step 2.2.1

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

$\frac{2 (- 2 \cdot 6^{2})}{6} - (42 + 5)$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $6$ .

$\frac{2 (- 2 \cdot 6^{2})}{2 (3)} - (42 + 5)$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 (- 2 \cdot 6^{2})}{2 \cdot 3} - (42 + 5)$

Step 2.2.2.3

Rewrite the expression.

$\frac{- 2 \cdot 6^{2}}{3} - (42 + 5)$

$\frac{- 2 \cdot 6^{2}}{3} - (42 + 5)$

$\frac{- 2 \cdot 6^{2}}{3} - (42 + 5)$

Step 2.3

Raise $6$ to the power of $2$ .

$\frac{- 2 \cdot 36}{3} - (42 + 5)$

Step 2.4

Multiply $- 2$ by $36$ .

$\frac{- 72}{3} - (42 + 5)$

Step 2.5

Divide $- 72$ by $3$ .

$- 24 - (42 + 5)$

Step 2.6

Add $42$ and $5$ .

$- 24 - 1 \cdot 47$

Step 2.7

Multiply $- 1$ by $47$ .

$- 24 - 47$

$- 24 - 47$

Step 3

Subtract $47$ from $- 24$ .

$- 71$

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