1/s - 1/(1 + s) - 1/(1 + s)^2
$$- \frac{1}{s + 1} + \frac{1}{s} - \frac{1}{\left(s + 1\right)^{2}}$$
1 1 1
- - ----- - --------
s 1 + s 2
(1 + s)
$$\frac{1}{s \left(s + 1\right)^{2}}$$
Подстановка условия
[src]
1/((s + 1)*(s^2 + s)) при s = -1/2
1 1
1*-----*------
s + 1 2
s + s
$$1 \cdot \frac{1}{s + 1} \cdot \frac{1}{s^{2} + s}$$
$$\frac{1}{s \left(s + 1\right)^{2}}$$
$$s = - \frac{1}{2}$$
1
--------------------
2
(-1/2)*(1 + (-1/2))
$$\frac{1}{(-1/2) \left((-1/2) + 1\right)^{2}}$$
1
---------------
2
-1/2*(1 - 1/2)
$$\frac{1}{\left(-1\right) \frac{1}{2} \left(- \frac{1}{2} + 1\right)^{2}}$$
$$-8$$
Рациональный знаменатель
[src]
1
-------------
3 2
s + s + 2*s
$$\frac{1}{s^{3} + 2 s^{2} + s}$$
1
----------------
/ 2\
(1 + s)*\s + s /
$$\frac{1}{\left(s + 1\right) \left(s^{2} + s\right)}$$
$$\frac{1}{s \left(s + 1\right)^{2}}$$
1.0/((1.0 + s)*(s + s^2))
1.0/((1.0 + s)*(s + s^2))
Объединение рациональных выражений
[src]
$$\frac{1}{s \left(s + 1\right)^{2}}$$
1
-------------
3 2
s + s + 2*s
$$\frac{1}{s^{3} + 2 s^{2} + s}$$
1
----------------
/ 2\
(1 + s)*\s + s /
$$\frac{1}{\left(s + 1\right) \left(s^{2} + s\right)}$$
1
----------------
/ 2 \
(s + 1)*\s + s/
$$\frac{1}{\left(s + 1\right) \left(s^{2} + s\right)}$$
1
----------------
/ 2\
(1 + s)*\s + s /
$$\frac{1}{\left(s + 1\right) \left(s^{2} + s\right)}$$