/ ___\ / ___\ / ___\
(-1 + a)*\2 + \/ a / + \2 - \/ a /*\1 + a + 2*\/ 2 /
----------------------------------------------------
/ ___\
(-1 + a)*\1 + a + 2*\/ 2 /
$$\frac{\left(- \sqrt{a} + 2\right) \left(a + 1 + 2 \sqrt{2}\right) + \left(\sqrt{a} + 2\right) \left(a - 1\right)}{\left(a - 1\right) \left(a + 1 + 2 \sqrt{2}\right)}$$
((-1 + a)*(2 + sqrt(a)) + (2 - sqrt(a))*(1 + a + 2*sqrt(2)))/((-1 + a)*(1 + a + 2*sqrt(2)))
___ ___
2 + \/ a -2 + \/ a
--------------- - ----------
___ -1 + a
1 + a + 2*\/ 2
$$- \frac{\sqrt{a} - 2}{a - 1} + \frac{\sqrt{a} + 2}{a + 1 + 2 \sqrt{2}}$$
(2 + sqrt(a))/(1 + a + 2*sqrt(2)) - (-2 + sqrt(a))/(-1 + a)
(2.0 + a^0.5)/(3.82842712474619 + a) - (-2.0 + a^0.5)/(-1.0 + a)
(2.0 + a^0.5)/(3.82842712474619 + a) - (-2.0 + a^0.5)/(-1.0 + a)
___ ___
2 - \/ a 2 + \/ a
--------- + ---------------
a - 1 ___
a + 2*\/ 2 + 1
$$\frac{- \sqrt{a} + 2}{a - 1} + \frac{\sqrt{a} + 2}{a + 1 + 2 \sqrt{2}}$$
___ ___
2 - \/ a 2 + \/ a
--------- + ---------------
-1 + a ___
1 + a + 2*\/ 2
$$\frac{- \sqrt{a} + 2}{a - 1} + \frac{\sqrt{a} + 2}{a + 1 + 2 \sqrt{2}}$$
___ ___
2 + \/ a -2 + \/ a
--------------- - ----------
___ -1 + a
1 + a + 2*\/ 2
$$- \frac{\sqrt{a} - 2}{a - 1} + \frac{\sqrt{a} + 2}{a + 1 + 2 \sqrt{2}}$$
(2 + sqrt(a))/(1 + a + 2*sqrt(2)) - (-2 + sqrt(a))/(-1 + a)
___ ___ ___ ___
- 2*\/ a + 4*a + 4*\/ 2 - 2*\/ 2 *\/ a
-----------------------------------------
2 ___ ___
-1 + a - 2*\/ 2 + 2*a*\/ 2
$$\frac{- 2 \sqrt{2} \sqrt{a} - 2 \sqrt{a} + 4 a + 4 \sqrt{2}}{a^{2} + 2 \sqrt{2} a - 2 \sqrt{2} - 1}$$
(-2*sqrt(a) + 4*a + 4*sqrt(2) - 2*sqrt(2)*sqrt(a))/(-1 + a^2 - 2*sqrt(2) + 2*a*sqrt(2))
/ ___ ___ ___ ___\
2*\- \/ a + 2*a + 2*\/ 2 - \/ 2 *\/ a /
-----------------------------------------
/ ___\
(-1 + a)*\1 + a + 2*\/ 2 /
$$\frac{2 \left(- \sqrt{2} \sqrt{a} - \sqrt{a} + 2 a + 2 \sqrt{2}\right)}{\left(a - 1\right) \left(a + 1 + 2 \sqrt{2}\right)}$$
2*(-sqrt(a) + 2*a + 2*sqrt(2) - sqrt(2)*sqrt(a))/((-1 + a)*(1 + a + 2*sqrt(2)))
Объединение рациональных выражений
[src]
/ ___\ / ___\ / ___\
(-1 + a)*\2 + \/ a / - \-2 + \/ a /*\1 + a + 2*\/ 2 /
-----------------------------------------------------
/ ___\
(-1 + a)*\1 + a + 2*\/ 2 /
$$\frac{- \left(\sqrt{a} - 2\right) \left(a + 1 + 2 \sqrt{2}\right) + \left(\sqrt{a} + 2\right) \left(a - 1\right)}{\left(a - 1\right) \left(a + 1 + 2 \sqrt{2}\right)}$$
((-1 + a)*(2 + sqrt(a)) - (-2 + sqrt(a))*(1 + a + 2*sqrt(2)))/((-1 + a)*(1 + a + 2*sqrt(2)))
Рациональный знаменатель
[src]
___ ___
2 2 \/ a \/ a
------ + --------------- + --------------- - ------
-1 + a ___ ___ -1 + a
1 + a + 2*\/ 2 1 + a + 2*\/ 2
$$\frac{\sqrt{a}}{a + 1 + 2 \sqrt{2}} - \frac{\sqrt{a}}{a - 1} + \frac{2}{a + 1 + 2 \sqrt{2}} + \frac{2}{a - 1}$$
3/2 ___ 2 ___ ___ ___ 3/2 ___ ___
-16 - 2*a + 4*a + 4*\/ 2 + 4*a + 6*\/ a - 4*a*\/ 2 - 2*\/ 2 *a + 2*\/ 2 *\/ a
----------------------------------------------------------------------------------------
/ 2 \
(-1 + a)*\-7 + a + 2*a/
$$\frac{- 2 \sqrt{2} a^{\frac{3}{2}} - 2 a^{\frac{3}{2}} + 4 a^{2} + 2 \sqrt{2} \sqrt{a} + 6 \sqrt{a} - 4 \sqrt{2} a + 4 a - 16 + 4 \sqrt{2}}{\left(a - 1\right) \left(a^{2} + 2 a - 7\right)}$$
(-16 - 2*a^(3/2) + 4*a + 4*sqrt(2) + 4*a^2 + 6*sqrt(a) - 4*a*sqrt(2) - 2*sqrt(2)*a^(3/2) + 2*sqrt(2)*sqrt(a))/((-1 + a)*(-7 + a^2 + 2*a))