Algebra Examples

$a = \frac{1}{2} h (c + d)$

Step 1

Remove parentheses.

$a = \frac{1}{2} \cdot (h (c + d))$

Step 2

Remove parentheses.

$a = \frac{1}{2} \cdot (h (c + d))$

Step 3

Simplify $\frac{1}{2} \cdot (h (c + d))$ .

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Step 3.1

Apply the distributive property.

$a = \frac{1}{2} \cdot (h c + h d)$

Step 3.2

Apply the distributive property.

$a = \frac{1}{2} (h c) + \frac{1}{2} (h d)$

Step 3.3

Multiply $\frac{1}{2} (h c)$ .

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Step 3.3.1

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

$a = \frac{h}{2} c + \frac{1}{2} (h d)$

Step 3.3.2

Combine $\frac{h}{2}$ and $c$ .

$a = \frac{h c}{2} + \frac{1}{2} (h d)$

$a = \frac{h c}{2} + \frac{1}{2} (h d)$

Step 3.4

Multiply $\frac{1}{2} (h d)$ .

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Step 3.4.1

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

$a = \frac{h c}{2} + \frac{h}{2} d$

Step 3.4.2

Combine $\frac{h}{2}$ and $d$ .

$a = \frac{h c}{2} + \frac{h d}{2}$

$a = \frac{h c}{2} + \frac{h d}{2}$

Step 3.5

Reorder $h$ and $c$ .

$a = \frac{c h}{2} + \frac{h d}{2}$

Step 3.6

Reorder $h$ and $d$ .

$a = \frac{c h}{2} + \frac{d h}{2}$

$a = \frac{c h}{2} + \frac{d h}{2}$

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