2
4 - 4*x 2*(-1 + x)
2 + ------- + -----------
1 + x 2
(1 + x)
-------------------------
1 + x
$$\frac{1}{x + 1} \left(\frac{- 4 x + 4}{x + 1} + \frac{2 \left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} + 2\right)$$
2
2*(2 - 2*x) 2*(-1 + x)
2 + ----------- + -----------
1 + x 2
(1 + x)
-----------------------------
1 + x
$$\frac{1}{x + 1} \left(\frac{- 4 x + 4}{x + 1} + \frac{2 \left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} + 2\right)$$
2
2*(-2 + 2*x) 2*(-1 + x)
2 - ------------ + -----------
1 + x 2
(1 + x)
------------------------------
1 + x
$$\frac{1}{x + 1} \left(\frac{2 \left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} + 2 - \frac{4 x - 4}{x + 1}\right)$$
2.0*(1.0 + (-1.0 + x)^2/(1.0 + x)^2 - 2.0*(-1.0 + x)/(1.0 + x))/(1.0 + x)
Рациональный знаменатель
[src] 2 / 2 2\
2*(1 + x) *(2 - 2*x) + 2*(1 + x)*\(1 + x) + (-1 + x) /
-------------------------------------------------------
4
(1 + x)
$$\frac{1}{\left(x + 1\right)^{4}} \left(2 \left(- 2 x + 2\right) \left(x + 1\right)^{2} + 2 \left(x + 1\right) \left(\left(x - 1\right)^{2} + \left(x + 1\right)^{2}\right)\right)$$
Объединение рациональных выражений
[src] / 2 2 \
2*\(1 + x) + (-1 + x) - 2*(1 + x)*(-1 + x)/
---------------------------------------------
3
(1 + x)
$$\frac{1}{\left(x + 1\right)^{3}} \left(2 \left(x - 1\right)^{2} - 4 \left(x - 1\right) \left(x + 1\right) + 2 \left(x + 1\right)^{2}\right)$$
8
-------------------
3 2
1 + x + 3*x + 3*x
$$\frac{8}{x^{3} + 3 x^{2} + 3 x + 1}$$
2
2*2*(-1 + x) 2*(-1 + x)
2 - ------------ + -----------
1 + x 2
(1 + x)
------------------------------
1 + x
$$\frac{1}{x + 1} \left(\frac{2 \left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} + 2 - \frac{4 x - 4}{x + 1}\right)$$
$$\frac{8}{\left(x + 1\right)^{3}}$$
8
-------------------
3 2
1 + x + 3*x + 3*x
$$\frac{8}{x^{3} + 3 x^{2} + 3 x + 1}$$