Algebra Examples

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

Step 1

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

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

Step 2

Cancel the common factor of $(2 n - 1)!$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$\frac{1}{(2 n + 1) (2 n)}$

Step 3

Simplify the expression.

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Step 3.1

Move $2$ to the left of $2 n + 1$ .

$\frac{1}{2 \cdot (2 n + 1) n}$

Step 3.2

Reorder factors in $\frac{1}{2 (2 n + 1) n}$ .

$\frac{1}{2 n (2 n + 1)}$