Basic Math Examples

$11^{2} - 2 ((21 + 3) \div 2^{2} + 18 \div 3^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Raise $11$ to the power of $2$ .

$121 - 2 ((21 + 3) \div 2^{2} + 18 \div 3^{2})$

Step 1.2

Add $21$ and $3$ .

$121 - 2 (24 \div 2^{2} + 18 \div 3^{2})$

Step 1.3

Simplify each term.

Tap for more steps...

Step 1.3.1

Rewrite the division as a fraction.

$121 - 2 (\frac{24}{2^{2}} + 18 \div 3^{2})$

Step 1.3.2

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

$121 - 2 (\frac{24}{4} + 18 \div 3^{2})$

Step 1.3.3

Divide $24$ by $4$ .

$121 - 2 (6 + 18 \div 3^{2})$

Step 1.3.4

Rewrite the division as a fraction.

$121 - 2 (6 + \frac{18}{3^{2}})$

Step 1.3.5

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

$121 - 2 (6 + \frac{18}{9})$

Step 1.3.6

Divide $18$ by $9$ .

$121 - 2 (6 + 2)$

$121 - 2 (6 + 2)$

Step 1.4

Add $6$ and $2$ .

$121 - 2 \cdot 8$

Step 1.5

Multiply $- 2$ by $8$ .

$121 - 16$

$121 - 16$

Step 2

Subtract $16$ from $121$ .

$105$

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