Basic Math Examples

$6! - 2!$

Step 1

Simplify each term.

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Step 1.1

Expand $6!$ to $6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 2!$

Step 1.2

Multiply $6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

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Step 1.2.1

Multiply $6$ by $5$ .

$30 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 2!$

Step 1.2.2

Multiply $30$ by $4$ .

$120 \cdot 3 \cdot 2 \cdot 1 - 2!$

Step 1.2.3

Multiply $120$ by $3$ .

$360 \cdot 2 \cdot 1 - 2!$

Step 1.2.4

Multiply $360$ by $2$ .

$720 \cdot 1 - 2!$

Step 1.2.5

Multiply $720$ by $1$ .

$720 - 2!$

Step 1.3

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

$720 - (2 \cdot 1)$

Step 1.4

Multiply $2$ by $1$ .

$720 - 1 \cdot 2$

Step 1.5

Multiply $- 1$ by $2$ .

$720 - 2$

Step 2

Subtract $2$ from $720$ .

$718$