$$- \frac{1}{n \left(n + 1\right)}$$
factorial(n)/factorial(n + 1) - factorial(n - 1*1)/factorial(n)
factorial(n)/factorial(n + 1) - factorial(n - 1*1)/factorial(n)
2
n! - (1 + n)!*(-1 + n)!
------------------------
n!*(1 + n)!
$$\frac{n!^{2} - \left(n - 1\right)! \left(n + 1\right)!}{n! \left(n + 1\right)!}$$
(factorial(n)^2 - factorial(1 + n)*factorial(-1 + n))/(factorial(n)*factorial(1 + n))
Объединение рациональных выражений
[src]
2
n! - (1 + n)!*(-1 + n)!
------------------------
n!*(1 + n)!
$$\frac{n!^{2} - \left(n - 1\right)! \left(n + 1\right)!}{n! \left(n + 1\right)!}$$
(factorial(n)^2 - factorial(1 + n)*factorial(-1 + n))/(factorial(n)*factorial(1 + n))
$$- \frac{1}{n \left(n + 1\right)}$$
Рациональный знаменатель
[src]
2
n! - (1 + n)!*(-1 + n)!
------------------------
n!*(1 + n)!
$$\frac{n!^{2} - \left(n - 1\right)! \left(n + 1\right)!}{n! \left(n + 1\right)!}$$
(factorial(n)^2 - factorial(1 + n)*factorial(-1 + n))/(factorial(n)*factorial(1 + n))