Algebra Examples

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

Step 1

Rewrite $n!$ as $n (n - 1) \cdot (n - 2)!$ .

$\frac{n (n - 1) \cdot (n - 2)!}{(n - 2)!}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $(n - 2)!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{n (n - 1) \cdot (n - 2)!}{(n - 2)!}$

Step 2.1.2

Divide $n (n - 1)$ by $1$ .

$n (n - 1)$

$n (n - 1)$

Step 2.2

Apply the distributive property.

$n \cdot n + n \cdot - 1$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $n$ by $n$ .

$n^{2} + n \cdot - 1$

Step 2.3.2

Move $- 1$ to the left of $n$ .

$n^{2} - 1 \cdot n$

$n^{2} - 1 \cdot n$

$n^{2} - 1 \cdot n$

Step 3

Rewrite $- 1 n$ as $- n$ .

$n^{2} - n$

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