Evaluate 9!-5! - MathMaster

$9! - 5!$

Simplify each term.

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Expand $9!$ to $9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 5!$

Simplify.

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Multiply $9$ by $8$ .

$72 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 5!$

Multiply $72$ by $7$ .

$504 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 5!$

Multiply $504$ by $6$ .

$3024 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 5!$

Multiply $3024$ by $5$ .

$15120 \cdot 4 \cdot 3 \cdot 2 \cdot 1 - 5!$

Multiply $15120$ by $4$ .

$60480 \cdot 3 \cdot 2 \cdot 1 - 5!$

Multiply $60480$ by $3$ .

$181440 \cdot 2 \cdot 1 - 5!$

Multiply $181440$ by $2$ .

$362880 \cdot 1 - 5!$

Multiply $362880$ by $1$ .

$362880 - 5!$

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

$362880 - (5 \cdot 4 \cdot 3 \cdot 2 \cdot 1)$

Simplify.

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Multiply $5$ by $4$ .

$362880 - (20 \cdot 3 \cdot 2 \cdot 1)$

Multiply $20$ by $3$ .

$362880 - (60 \cdot 2 \cdot 1)$

Multiply $60$ by $2$ .

$362880 - (120 \cdot 1)$

Multiply $120$ by $1$ .

$362880 - 1 \cdot 120$

Multiply $- 1$ by $120$ .

$362880 - 120$

Subtract $120$ from $362880$ .

$362760$

Evaluate 9!-5!

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