/ ________\
| / 2 | / _______ _______\
\1 + \/ 1 - a /*\3 + \/ 1 + a *\/ 1 - a /
-------------------------------------------
_______
3*\/ 1 + a
$$\frac{\left(\sqrt{- a + 1} \sqrt{a + 1} + 3\right) \left(\sqrt{- a^{2} + 1} + 1\right)}{3 \sqrt{a + 1}}$$
(1 + sqrt(1 - a^2))*(3 + sqrt(1 + a)*sqrt(1 - a))/(3*sqrt(1 + a))
/ ________\
| / 2 |
|1 \/ 1 - a | / _______ 3 \
|- + -----------|*|\/ 1 - a + ---------|
\3 3 / | _______|
\ \/ 1 + a /
$$\left(\sqrt{- a + 1} + \frac{3}{\sqrt{a + 1}}\right) \left(\frac{\sqrt{- a^{2} + 1}}{3} + \frac{1}{3}\right)$$
(1/3 + sqrt(1 - a^2)/3)*(sqrt(1 - a) + 3/sqrt(1 + a))
Рациональный знаменатель
[src]
________ ________
_______ / 2 _______ / 2
1 \/ 1 - a \/ 1 - a \/ 1 - a *\/ 1 - a
--------- + --------- + ----------- + ---------------------
_______ 3 _______ 3
\/ 1 + a \/ 1 + a
$$\frac{\sqrt{- a + 1} \sqrt{- a^{2} + 1}}{3} + \frac{\sqrt{- a + 1}}{3} + \frac{\sqrt{- a^{2} + 1}}{\sqrt{a + 1}} + \frac{1}{\sqrt{a + 1}}$$
________ ________ ________
_______ _______ _______ _______ / 2 _______ / 2 _______ / 2
\/ 1 - a + 3*\/ 1 + a + a*\/ 1 - a + \/ 1 - a *\/ 1 - a + 3*\/ 1 + a *\/ 1 - a + a*\/ 1 - a *\/ 1 - a
-----------------------------------------------------------------------------------------------------------------
3 + 3*a
$$\frac{a \sqrt{- a + 1} \sqrt{- a^{2} + 1} + a \sqrt{- a + 1} + \sqrt{- a + 1} \sqrt{- a^{2} + 1} + 3 \sqrt{- a^{2} + 1} \sqrt{a + 1} + \sqrt{- a + 1} + 3 \sqrt{a + 1}}{3 a + 3}$$
(sqrt(1 - a) + 3*sqrt(1 + a) + a*sqrt(1 - a) + sqrt(1 - a)*sqrt(1 - a^2) + 3*sqrt(1 + a)*sqrt(1 - a^2) + a*sqrt(1 - a)*sqrt(1 - a^2))/(3 + 3*a)
/ ________\
| / 2 | / _______ _______\
\1 + \/ 1 - a /*\3 + \/ 1 + a *\/ 1 - a /
-------------------------------------------
_______
3*\/ 1 + a
$$\frac{\left(\sqrt{- a + 1} \sqrt{a + 1} + 3\right) \left(\sqrt{- a^{2} + 1} + 1\right)}{3 \sqrt{a + 1}}$$
(1 + sqrt(1 - a^2))*(3 + sqrt(1 + a)*sqrt(1 - a))/(3*sqrt(1 + a))
/ ________\
| / 2 | / _______ 3 \
\1 + \/ 1 - a /*|\/ 1 - a + ---------|
| _______|
\ \/ 1 + a /
-----------------------------------------
3
$$\frac{\left(\sqrt{- a + 1} + \frac{3}{\sqrt{a + 1}}\right) \left(\sqrt{- a^{2} + 1} + 1\right)}{3}$$
/ ________\
| / 2 |
|1 \/ 1 - a | / _______ 3 \
|- + -----------|*|\/ 1 - a + ---------|
\3 3 / | _______|
\ \/ 1 + a /
$$\left(\sqrt{- a + 1} + \frac{3}{\sqrt{a + 1}}\right) \left(\frac{\sqrt{- a^{2} + 1}}{3} + \frac{1}{3}\right)$$
(1/3 + sqrt(1 - a^2)/3)*(sqrt(1 - a) + 3/sqrt(1 + a))
________ ________
_______ / 2 _______ / 2
\/ 1 - a 1 + \/ 1 - a \/ 1 - a *\/ 1 - a
--------- + --------------- + ---------------------
3 _______ 3
\/ 1 + a
$$\frac{\sqrt{- a + 1} \sqrt{- a^{2} + 1}}{3} + \frac{\sqrt{- a + 1}}{3} + \frac{\sqrt{- a^{2} + 1} + 1}{\sqrt{a + 1}}$$
sqrt(1 - a)/3 + (1 + sqrt(1 - a^2))/sqrt(1 + a) + sqrt(1 - a)*sqrt(1 - a^2)/3
Объединение рациональных выражений
[src]
/ ________\
| / 2 |
/ _______ _______\ |1 \/ 1 - a |
\3 + \/ 1 + a *\/ 1 - a /*|- + -----------|
\3 3 /
-------------------------------------------
_______
\/ 1 + a
$$\frac{\left(\sqrt{- a + 1} \sqrt{a + 1} + 3\right) \left(\frac{\sqrt{- a^{2} + 1}}{3} + \frac{1}{3}\right)}{\sqrt{a + 1}}$$
(3 + sqrt(1 + a)*sqrt(1 - a))*(1/3 + sqrt(1 - a^2)/3)/sqrt(1 + a)
/ ________\
| / 2 |
|1 \/ 1 - a | / 3 _______\
|- + -----------|*|--------- + \/ 1 - a |
\3 3 / | _______ |
\\/ 1 + a /
$$\left(\sqrt{- a + 1} + \frac{3}{\sqrt{a + 1}}\right) \left(\frac{\sqrt{- a^{2} + 1}}{3} + \frac{1}{3}\right)$$
(1/3 + sqrt(1 - a^2)/3)*(3/(sqrt(1 + a)) + sqrt(1 - a))
(0.333333333333333 + 0.333333333333333*(1.0 - a^2)^0.5)*((1.0 - a)^0.5 + 3.0/(1.0 + a)^0.5)
(0.333333333333333 + 0.333333333333333*(1.0 - a^2)^0.5)*((1.0 - a)^0.5 + 3.0/(1.0 + a)^0.5)