2 / ___ ___\ / 3/2 3/2\
(a - b) + \\/ a - \/ b /*\b - a /
----------------------------------------
/ ___ ___\
(a - b)*\\/ a - \/ b /
$$\frac{\left(\sqrt{a} - \sqrt{b}\right) \left(- a^{\frac{3}{2}} + b^{\frac{3}{2}}\right) + \left(a - b\right)^{2}}{\left(\sqrt{a} - \sqrt{b}\right) \left(a - b\right)}$$
((a - b)^2 + (sqrt(a) - sqrt(b))*(b^(3/2) - a^(3/2)))/((a - b)*(sqrt(a) - sqrt(b)))
3/2 3/2
b - a a - b
----------- + -------------
a - b ___ ___
\/ a - \/ b
$$\frac{- a^{\frac{3}{2}} + b^{\frac{3}{2}}}{a - b} + \frac{a - b}{\sqrt{a} - \sqrt{b}}$$
3/2 3/2
a - b a - b
------------- - -----------
___ ___ a - b
\/ a - \/ b
$$- \frac{a^{\frac{3}{2}} - b^{\frac{3}{2}}}{a - b} + \frac{a - b}{\sqrt{a} - \sqrt{b}}$$
(a - b)/(sqrt(a) - sqrt(b)) - (a^(3/2) - b^(3/2))/(a - b)
/ ___ 3/2 3/2 ___ \
-\- \/ a *b - a *\/ b + 2*a*b/
-------------------------------------
/ ___ ___\
(a - b)*\\/ a - \/ b /
$$- \frac{- a^{\frac{3}{2}} \sqrt{b} - \sqrt{a} b^{\frac{3}{2}} + 2 a b}{\left(\sqrt{a} - \sqrt{b}\right) \left(a - b\right)}$$
-(-sqrt(a)*b^(3/2) - a^(3/2)*sqrt(b) + 2*a*b)/((a - b)*(sqrt(a) - sqrt(b)))
3/2 3/2
a - b a - b
------------- - -----------
___ ___ a - b
\/ a - \/ b
$$- \frac{a^{\frac{3}{2}} - b^{\frac{3}{2}}}{a - b} + \frac{a - b}{\sqrt{a} - \sqrt{b}}$$
(a - b)/(sqrt(a) - sqrt(b)) - (a^(3/2) - b^(3/2))/(a - b)
___ 3/2 3/2 ___
- \/ a *b - a *\/ b + 2*a*b
---------------------------------
3/2 3/2 ___ ___
- a - b + a*\/ b + b*\/ a
$$\frac{- a^{\frac{3}{2}} \sqrt{b} - \sqrt{a} b^{\frac{3}{2}} + 2 a b}{- a^{\frac{3}{2}} - b^{\frac{3}{2}} + \sqrt{a} b + a \sqrt{b}}$$
(-sqrt(a)*b^(3/2) - a^(3/2)*sqrt(b) + 2*a*b)/(-a^(3/2) - b^(3/2) + a*sqrt(b) + b*sqrt(a))
Объединение рациональных выражений
[src]
2 / ___ ___\ / 3/2 3/2\
(a - b) - \\/ a - \/ b /*\a - b /
----------------------------------------
/ ___ ___\
(a - b)*\\/ a - \/ b /
$$\frac{- \left(\sqrt{a} - \sqrt{b}\right) \left(a^{\frac{3}{2}} - b^{\frac{3}{2}}\right) + \left(a - b\right)^{2}}{\left(\sqrt{a} - \sqrt{b}\right) \left(a - b\right)}$$
((a - b)^2 - (sqrt(a) - sqrt(b))*(a^(3/2) - b^(3/2)))/((a - b)*(sqrt(a) - sqrt(b)))
(a - b)/(a^0.5 - b^0.5) - (a^1.5 - b^1.5)/(a - b)
(a - b)/(a^0.5 - b^0.5) - (a^1.5 - b^1.5)/(a - b)
Рациональный знаменатель
[src]
3/2 3/2
a b b a
------------- + ----- - ------------- - -----
___ ___ a - b ___ ___ a - b
\/ a - \/ b \/ a - \/ b
$$- \frac{a^{\frac{3}{2}}}{a - b} + \frac{b^{\frac{3}{2}}}{a - b} + \frac{a}{\sqrt{a} - \sqrt{b}} - \frac{b}{\sqrt{a} - \sqrt{b}}$$
5/2 5/2 3/2 3/2 ___ 2 ___ 2
- a - b + a*b + b*a + \/ a *(a - b) + \/ b *(a - b)
-----------------------------------------------------------------
2
(a - b)
$$\frac{- a^{\frac{5}{2}} - b^{\frac{5}{2}} + a^{\frac{3}{2}} b + a b^{\frac{3}{2}} + \sqrt{a} \left(a - b\right)^{2} + \sqrt{b} \left(a - b\right)^{2}}{\left(a - b\right)^{2}}$$
(-a^(5/2) - b^(5/2) + a*b^(3/2) + b*a^(3/2) + sqrt(a)*(a - b)^2 + sqrt(b)*(a - b)^2)/(a - b)^2