Pre-Algebra Examples

$D = \frac{1}{2} \cdot (n (n - 3))$

Step 1

Remove parentheses.

$D = \frac{1}{2} \cdot (n (n - 3))$

Step 2

Simplify $\frac{1}{2} \cdot (n (n - 3))$ .

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Step 2.1

Apply the distributive property.

$D = \frac{1}{2} \cdot (n \cdot n + n \cdot - 3)$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $n$ by $n$ .

$D = \frac{1}{2} \cdot (n^{2} + n \cdot - 3)$

Step 2.2.2

Move $- 3$ to the left of $n$ .

$D = \frac{1}{2} \cdot (n^{2} - 3 \cdot n)$

$D = \frac{1}{2} \cdot (n^{2} - 3 \cdot n)$

Step 2.3

Apply the distributive property.

$D = \frac{1}{2} n^{2} + \frac{1}{2} (- 3 n)$

Step 2.4

Combine $\frac{1}{2}$ and $n^{2}$ .

$D = \frac{n^{2}}{2} + \frac{1}{2} (- 3 n)$

Step 2.5

Multiply $\frac{1}{2} (- 3 n)$ .

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Step 2.5.1

Combine $- 3$ and $\frac{1}{2}$ .

$D = \frac{n^{2}}{2} + \frac{- 3}{2} n$

Step 2.5.2

Combine $\frac{- 3}{2}$ and $n$ .

$D = \frac{n^{2}}{2} + \frac{- 3 n}{2}$

$D = \frac{n^{2}}{2} + \frac{- 3 n}{2}$

Step 2.6

Move the negative in front of the fraction.

$D = \frac{n^{2}}{2} - \frac{3 n}{2}$

$D = \frac{n^{2}}{2} - \frac{3 n}{2}$

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