2
8*x *(1 + x)
-2 - 6*x + ------------
2
1 + x
-----------------------
2
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{2}} \left(\frac{8 x^{2} \left(x + 1\right)}{x^{2} + 1} - 6 x - 2\right)$$
2
2*x *(4 + 4*x)
-2 - 6*x + --------------
2
1 + x
-------------------------
2
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{2}} \left(\frac{2 x^{2} \left(4 x + 4\right)}{x^{2} + 1} - 6 x - 2\right)$$
2
x *(8 + 8*x)
-2 - 6*x + ------------
2
1 + x
-----------------------
2
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{2}} \left(\frac{x^{2} \left(8 x + 8\right)}{x^{2} + 1} - 6 x - 2\right)$$
2.0*(-1.0 - 3.0*x + 4.0*x^2*(1.0 + x)/(1.0 + x^2))/(1.0 + x^2)^2
Рациональный знаменатель
[src] / 2\ 2
2*\1 + x /*(-1 - 3*x) + 8*x *(1 + x)
------------------------------------
3
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{3}} \left(8 x^{2} \left(x + 1\right) + 2 \left(- 3 x - 1\right) \left(x^{2} + 1\right)\right)$$
Объединение рациональных выражений
[src] // 2\ 2 \
2*\\1 + x /*(-1 - 3*x) + 4*x *(1 + x)/
--------------------------------------
3
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{3}} \left(8 x^{2} \left(x + 1\right) + 2 \left(- 3 x - 1\right) \left(x^{2} + 1\right)\right)$$
/ / 2\ 2 \
2*\- \1 + x /*(1 + 3*x) + 4*x *(1 + x)/
---------------------------------------
3
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{3}} \left(8 x^{2} \left(x + 1\right) - 2 \left(3 x + 1\right) \left(x^{2} + 1\right)\right)$$
2
2*4*x *(1 + x)
-2 - 2*3*x + --------------
2
1 + x
---------------------------
2
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{2}} \left(- 6 x + \frac{8 x^{2} \left(x + 1\right)}{x^{2} + 1} - 2\right)$$
/ 2 \
2*(-1 + x)*\1 + x + 4*x/
-------------------------
3
/ 2\
\1 + x /
$$\frac{2}{\left(x^{2} + 1\right)^{3}} \left(x - 1\right) \left(x^{2} + 4 x + 1\right)$$
3 2
-2 - 6*x + 2*x + 6*x
----------------------
6 2 4
1 + x + 3*x + 3*x
$$\frac{2 x^{3} + 6 x^{2} - 6 x - 2}{x^{6} + 3 x^{4} + 3 x^{2} + 1}$$