Basic Math Examples

$v = (\frac{(B + b) (h)}{2}) (40)$

Step 1

Multiply $B + b$ by $h$ .

$v = \frac{(B + b) h}{2} \cdot 40$

Step 2

Simplify $\frac{(B + b) h}{2} \cdot 40$ .

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Step 2.1

Simplify terms.

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Factor $2$ out of $40$ .

$v = \frac{(B + b) h}{2} \cdot (2 (20))$

Step 2.1.1.2

Cancel the common factor.

$v = \frac{(B + b) h}{2} \cdot (2 \cdot 20)$

Step 2.1.1.3

Rewrite the expression.

$v = (B + b) h \cdot 20$

$v = (B + b) h \cdot 20$

Step 2.1.2

Apply the distributive property.

$v = (B h + b h) \cdot 20$

Step 2.1.3

Apply the distributive property.

$v = B h \cdot 20 + b h \cdot 20$

Step 2.1.4

Reorder.

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Step 2.1.4.1

Move $20$ to the left of $B h$ .

$v = 20 \cdot (B h) + b h \cdot 20$

Step 2.1.4.2

Move $20$ to the left of $b h$ .

$v = 20 \cdot (B h) + 20 \cdot (b h)$

$v = 20 \cdot (B h) + 20 \cdot (b h)$

$v = 20 \cdot (B h) + 20 \cdot (b h)$

Step 2.2

Remove parentheses.

$v = 20 B h + 20 b h$

Step 2.3

Move $B$ .

$v = 20 h B + 20 b h$

$v = 20 h B + 20 b h$

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