Finite Math Examples

$\frac{1}{3!} \cdot (8 P^{3})$

Step 1

Simplify the denominator.

Tap for more steps...

Step 1.1

Expand $3!$ to $3 \cdot 2 \cdot 1$ .

$\frac{1}{3 \cdot 2 \cdot 1} \cdot (8 P^{3})$

Step 1.2

Multiply $3 \cdot 2 \cdot 1$ .

Tap for more steps...

Step 1.2.1

Multiply $3$ by $2$ .

$\frac{1}{6 \cdot 1} \cdot (8 P^{3})$

Step 1.2.2

Multiply $6$ by $1$ .

$\frac{1}{6} \cdot (8 P^{3})$

$\frac{1}{6} \cdot (8 P^{3})$

$\frac{1}{6} \cdot (8 P^{3})$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $6$ .

$\frac{1}{2 (3)} \cdot (8 P^{3})$

Step 2.1.2

Factor $2$ out of $8 P^{3}$ .

$\frac{1}{2 (3)} \cdot (2 (4 P^{3}))$

Step 2.1.3

Cancel the common factor.

$\frac{1}{2 \cdot 3} \cdot (2 (4 P^{3}))$

Step 2.1.4

Rewrite the expression.

$\frac{1}{3} \cdot (4 P^{3})$

$\frac{1}{3} \cdot (4 P^{3})$

Step 2.2

Combine $4$ and $\frac{1}{3}$ .

$\frac{4}{3} \cdot P^{3}$

Step 2.3

Combine $\frac{4}{3}$ and $P^{3}$ .

$\frac{4 P^{3}}{3}$

$\frac{4 P^{3}}{3}$

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