Basic Math Examples

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

Step 1

Multiply $\frac{1}{2} h$ by $a + b$ .

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

Step 2

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

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Step 2.1

Apply the distributive property.

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

Step 2.2

Apply the distributive property.

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

Step 2.3

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

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Step 2.3.1

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

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

Step 2.3.2

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

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

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

Step 2.4

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

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Step 2.4.1

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

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

Step 2.4.2

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

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

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

Step 2.5

Reorder $h$ and $a$ .

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

Step 2.6

Reorder $h$ and $b$ .

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

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

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