Calculus Examples

$v = \frac{3}{2} \cdot (p r^{3} b)$

Step 1

Remove parentheses.

$v = \frac{3}{2} \cdot ((p r^{3}) b)$

Step 2

Remove parentheses.

$v = \frac{3}{2} \cdot (p r^{3} b)$

Step 3

Simplify $\frac{3}{2} \cdot (p r^{3} b)$ .

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Step 3.1

Multiply $\frac{3}{2} (p r^{3} b)$ .

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Step 3.1.1

Combine $p$ and $\frac{3}{2}$ .

$v = \frac{p \cdot 3}{2} (r^{3} b)$

Step 3.1.2

Combine $r^{3}$ and $\frac{p \cdot 3}{2}$ .

$v = \frac{r^{3} (p \cdot 3)}{2} b$

Step 3.1.3

Combine $\frac{r^{3} (p \cdot 3)}{2}$ and $b$ .

$v = \frac{r^{3} (p \cdot 3) b}{2}$

$v = \frac{r^{3} (p \cdot 3) b}{2}$

Step 3.2

Move $3$ to the left of $r^{3} p$ .

$v = \frac{3 r^{3} p b}{2}$

$v = \frac{3 r^{3} p b}{2}$

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