Basic Math Examples

$F = \frac{1}{6} \cdot (k (d - n))$

Step 1

Remove parentheses.

$F = \frac{1}{6} \cdot (k (d - n))$

Step 2

Simplify $\frac{1}{6} \cdot (k (d - n))$ .

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Step 2.1

Apply the distributive property.

$F = \frac{1}{6} \cdot (k d + k (- n))$

Step 2.2

Rewrite using the commutative property of multiplication.

$F = \frac{1}{6} \cdot (k d - k n)$

Step 2.3

Apply the distributive property.

$F = \frac{1}{6} (k d) + \frac{1}{6} (- k n)$

Step 2.4

Multiply $\frac{1}{6} (k d)$ .

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Step 2.4.1

Combine $k$ and $\frac{1}{6}$ .

$F = \frac{k}{6} d + \frac{1}{6} (- k n)$

Step 2.4.2

Combine $\frac{k}{6}$ and $d$ .

$F = \frac{k d}{6} + \frac{1}{6} (- k n)$

$F = \frac{k d}{6} + \frac{1}{6} (- k n)$

Step 2.5

Multiply $\frac{1}{6} (- k n)$ .

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Step 2.5.1

Combine $\frac{1}{6}$ and $k$ .

$F = \frac{k d}{6} - \frac{k}{6} n$

Step 2.5.2

Combine $n$ and $\frac{k}{6}$ .

$F = \frac{k d}{6} - \frac{n k}{6}$

$F = \frac{k d}{6} - \frac{n k}{6}$

Step 2.6

Reorder $k$ and $d$ .

$F = \frac{d k}{6} - \frac{n k}{6}$

Step 2.7

Reorder $n$ and $k$ .

$F = \frac{d k}{6} - \frac{k n}{6}$

$F = \frac{d k}{6} - \frac{k n}{6}$

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