Basic Math Examples

${(4 - 7)}^{2} + \sqrt{2 \cdot 8 + 9} - {(32 \div 8 - 6)}^{3} + (- 2 - 8)$

Step 1

Remove parentheses.

${(4 - 7)}^{2} + \sqrt{2 \cdot 8 + 9} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2

Simplify each term.

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Step 2.1

Subtract $7$ from $4$ .

${(- 3)}^{2} + \sqrt{2 \cdot 8 + 9} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.2

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

$9 + \sqrt{2 \cdot 8 + 9} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.3

Multiply $2$ by $8$ .

$9 + \sqrt{16 + 9} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.4

Add $16$ and $9$ .

$9 + \sqrt{25} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.5

Rewrite $25$ as $5^{2}$ .

$9 + \sqrt{5^{2}} - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.6

Pull terms out from under the radical, assuming positive real numbers.

$9 + 5 - {(32 \div 8 - 6)}^{3} - 2 - 8$

Step 2.7

Divide $32$ by $8$ .

$9 + 5 - {(4 - 6)}^{3} - 2 - 8$

Step 2.8

Subtract $6$ from $4$ .

$9 + 5 - {(- 2)}^{3} - 2 - 8$

Step 2.9

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

$9 + 5 - - 8 - 2 - 8$

Step 2.10

Multiply $- 1$ by $- 8$ .

$9 + 5 + 8 - 2 - 8$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $9$ and $5$ .

$14 + 8 - 2 - 8$

Step 3.2

Add $14$ and $8$ .

$22 - 2 - 8$

Step 3.3

Subtract $2$ from $22$ .

$20 - 8$

Step 3.4

Subtract $8$ from $20$ .

$12$