Pre-Algebra Examples

$a = \frac{1}{2} \cdot ((b + B) h)$

Step 1

Remove parentheses.

$a = \frac{1}{2} \cdot ((b + B) h)$

Step 2

Simplify $\frac{1}{2} \cdot ((b + B) h)$ .

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Step 2.1

Apply the distributive property.

$a = \frac{1}{2} \cdot (b h + B h)$

Step 2.2

Apply the distributive property.

$a = \frac{1}{2} (b h) + \frac{1}{2} (B h)$

Step 2.3

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

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Step 2.3.1

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

$a = \frac{b}{2} h + \frac{1}{2} (B h)$

Step 2.3.2

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

$a = \frac{b h}{2} + \frac{1}{2} (B h)$

$a = \frac{b h}{2} + \frac{1}{2} (B h)$

Step 2.4

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

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Step 2.4.1

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

$a = \frac{b h}{2} + \frac{B}{2} h$

Step 2.4.2

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

$a = \frac{b h}{2} + \frac{B h}{2}$

$a = \frac{b h}{2} + \frac{B h}{2}$

Step 2.5

Reorder $B$ and $h$ .

$a = \frac{b h}{2} + \frac{h B}{2}$

Step 2.6

Reorder $\frac{b h}{2}$ and $\frac{h B}{2}$ .

$a = \frac{h B}{2} + \frac{b h}{2}$

$a = \frac{h B}{2} + \frac{b h}{2}$

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