Basic Math Examples

\frac{8!}{(8 - 2)! 2!}

$\frac{8!}{(8 - 2)! 2!}$

Step 1

Subtract

$2$ from

$8$ .

$\frac{8!}{(6)! 2!}$

Step 2

Rewrite

$8!$ as

$8 \cdot 7 \cdot 6!$ .

$\frac{8 \cdot 7 \cdot 6!}{(6)! 2!}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of

$6!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{8 \cdot 7 \cdot 6!}{(6)! 2!}$

Step 3.1.2

Rewrite the expression.

$\frac{8 \cdot 7}{2!}$

Step 3.2

Multiply

$8$ by

$7$ .

$\frac{56}{2!}$

Step 4

Simplify the denominator.

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Step 4.1

Expand

$2!$ to

$2 \cdot 1$ .

$\frac{56}{2 \cdot 1}$

Step 4.2

Multiply

$2$ by

$1$ .

$\frac{56}{2}$

Step 5

Divide

$56$ by

$2$ .

$28$