Algebra Examples

$\frac{1}{2} \cdot (4^{2} - (2 + 3))$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{1}{2} \cdot (16 - (2 + 3))$

Step 1.2

Add $2$ and $3$ .

$\frac{1}{2} \cdot (16 - 1 \cdot 5)$

Step 1.3

Multiply $- 1$ by $5$ .

$\frac{1}{2} \cdot (16 - 5)$

$\frac{1}{2} \cdot (16 - 5)$

Step 2

Combine fractions.

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Step 2.1

Subtract $5$ from $16$ .

$\frac{1}{2} \cdot 11$

Step 2.2

Combine $\frac{1}{2}$ and $11$ .

$\frac{11}{2}$

$\frac{11}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{2}$

Decimal Form:

$5.5$

Mixed Number Form:

$5 \frac{1}{2}$

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