Basic Math Examples

$D = \frac{1}{3} \cdot (h (a - b))$

Step 1

Remove parentheses.

$D = \frac{1}{3} \cdot (h (a - b))$

Step 2

Simplify $\frac{1}{3} \cdot (h (a - b))$ .

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Step 2.1

Apply the distributive property.

$D = \frac{1}{3} \cdot (h a + h (- b))$

Step 2.2

Rewrite using the commutative property of multiplication.

$D = \frac{1}{3} \cdot (h a - h b)$

Step 2.3

Apply the distributive property.

$D = \frac{1}{3} (h a) + \frac{1}{3} (- h b)$

Step 2.4

Multiply $\frac{1}{3} (h a)$ .

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Step 2.4.1

Combine $h$ and $\frac{1}{3}$ .

$D = \frac{h}{3} a + \frac{1}{3} (- h b)$

Step 2.4.2

Combine $\frac{h}{3}$ and $a$ .

$D = \frac{h a}{3} + \frac{1}{3} (- h b)$

$D = \frac{h a}{3} + \frac{1}{3} (- h b)$

Step 2.5

Multiply $\frac{1}{3} (- h b)$ .

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Step 2.5.1

Combine $\frac{1}{3}$ and $h$ .

$D = \frac{h a}{3} - \frac{h}{3} b$

Step 2.5.2

Combine $b$ and $\frac{h}{3}$ .

$D = \frac{h a}{3} - \frac{b h}{3}$

$D = \frac{h a}{3} - \frac{b h}{3}$

Step 2.6

Reorder $h$ and $a$ .

$D = \frac{a h}{3} - \frac{b h}{3}$

$D = \frac{a h}{3} - \frac{b h}{3}$

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