Algebra Examples

$\frac{8!}{5! 3!}$

Step 1

Rewrite $8!$ as $8 \cdot 7 \cdot 6 \cdot 5!$ .

$\frac{8 \cdot 7 \cdot 6 \cdot 5!}{5! 3!}$

Step 2

Cancel the common factor of $5!$ .

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Step 2.1

Cancel the common factor.

$\frac{8 \cdot 7 \cdot 6 \cdot 5!}{5! 3!}$

Step 2.2

Rewrite the expression.

$\frac{8 \cdot 7 \cdot 6}{3!}$

$\frac{8 \cdot 7 \cdot 6}{3!}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $8$ by $7$ .

$\frac{56 \cdot 6}{3!}$

Step 3.2

Multiply $56$ by $6$ .

$\frac{336}{3!}$

$\frac{336}{3!}$

Step 4

Simplify the denominator.

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Step 4.1

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

$\frac{336}{3 \cdot 2 \cdot 1}$

Step 4.2

Multiply $3 \cdot 2 \cdot 1$ .

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Step 4.2.1

Multiply $3$ by $2$ .

$\frac{336}{6 \cdot 1}$

Step 4.2.2

Multiply $6$ by $1$ .

$\frac{336}{6}$

$\frac{336}{6}$

$\frac{336}{6}$

Step 5

Divide $336$ by $6$ .

$56$

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