/ 2 \
-m*(m - n)*\- (m + n) + 4*m*n/
---------------------------------------------------------------------
2 2
m *(m - n) + m*n*(m + n) - 2*n*(m + n)*(m - n) - m*n *(m + n)*(m - n)
$$- \frac{m \left(m - n\right) \left(4 m n - \left(m + n\right)^{2}\right)}{- m n^{2} \left(m - n\right) \left(m + n\right) + m^{2} \left(m - n\right) + m n \left(m + n\right) - 2 n \left(m - n\right) \left(m + n\right)}$$
-m*(m - n)*(-(m + n)^2 + 4*m*n)/(m^2*(m - n) + m*n*(m + n) - 2*n*(m + n)*(m - n) - m*n^2*(m + n)*(m - n))
4*m*n
m + n - -----
m + n
--------------------------
2 m n 2*n
- n + ----- - ----- - ---
m + n n - m m
$$\frac{- \frac{4 m n}{m + n} + m + n}{- n^{2} + \frac{m}{m + n} - \frac{n}{- m + n} - \frac{2 n}{m}}$$
/ 4*n \
n + m*|1 - -----|
\ m + n/
--------------------------
2 m n 2*n
- n + ----- - ----- - ---
m + n n - m m
$$\frac{m \left(- \frac{4 n}{m + n} + 1\right) + n}{- n^{2} + \frac{m}{m + n} - \frac{n}{- m + n} - \frac{2 n}{m}}$$
/ 4*m \
m + n*|1 - -----|
\ m + n/
------------------------------
2 m / 1 2\
- n + ----- + n*|- ----- - -|
m + n \ n - m m/
$$\frac{n \left(- \frac{4 m}{m + n} + 1\right) + m}{- n^{2} + n \left(- \frac{1}{- m + n} - \frac{2}{m}\right) + \frac{m}{m + n}}$$
(m + n*(1 - 4*m/(m + n)))/(-n^2 + m/(m + n) + n*(-1/(n - m) - 2/m))
Объединение рациональных выражений
[src]
m*(n - m)*(m*(m + n) + n*(m + n) - 4*m*n)
---------------------------------------------------------------------
2 2
m *(n - m) - m*n*(m + n) - 2*n*(m + n)*(n - m) - m*n *(m + n)*(n - m)
$$\frac{m \left(- m + n\right) \left(- 4 m n + m \left(m + n\right) + n \left(m + n\right)\right)}{- m n^{2} \left(- m + n\right) \left(m + n\right) + m^{2} \left(- m + n\right) - m n \left(m + n\right) - 2 n \left(- m + n\right) \left(m + n\right)}$$
m*(n - m)*(m*(m + n) + n*(m + n) - 4*m*n)/(m^2*(n - m) - m*n*(m + n) - 2*n*(m + n)*(n - m) - m*n^2*(m + n)*(n - m))
4*m*n
m + n - -----
m + n
--------------------------
2 m n 2*n
- n + ----- - ----- - ---
m + n n - m m
$$\frac{- \frac{4 m n}{m + n} + m + n}{- n^{2} + \frac{m}{m + n} - \frac{n}{- m + n} - \frac{2 n}{m}}$$
(m + n - 4*m*n/(m + n))/(-n^2 + m/(m + n) - n/(n - m) - 2*n/m)
4 3 2 2 3
- m + m*n - 3*m *n + 3*n*m
------------------------------------------
3 3 3 2 2 4 2
- m - 2*n + m *n - m*n - m*n + 2*n*m
$$\frac{- m^{4} + 3 m^{3} n - 3 m^{2} n^{2} + m n^{3}}{m^{3} n^{2} - m n^{4} - m^{3} + 2 m^{2} n - m n^{2} - 2 n^{3}}$$
(-m^4 + m*n^3 - 3*m^2*n^2 + 3*n*m^3)/(-m^3 - 2*n^3 + m^3*n^2 - m*n^2 - m*n^4 + 2*n*m^2)
(m + n - 4.0*m*n/(m + n))/(-n^2 + m/(m + n) - n/(n - m) - 2.0*n/m)
(m + n - 4.0*m*n/(m + n))/(-n^2 + m/(m + n) - n/(n - m) - 2.0*n/m)
3
-m*(m - n)
------------------------------------------
3 3 3 2 2 4 2
- m - 2*n + m *n - m*n - m*n + 2*n*m
$$- \frac{m \left(m - n\right)^{3}}{m^{3} n^{2} - m n^{4} - m^{3} + 2 m^{2} n - m n^{2} - 2 n^{3}}$$
-m*(m - n)^3/(-m^3 - 2*n^3 + m^3*n^2 - m*n^2 - m*n^4 + 2*n*m^2)
Рациональный знаменатель
[src]
/ 2 2 2 2\
-m*\n*(m + n) - m*(m + n) - 4*m*n + 4*n*m /
-----------------------------------------------
3 3 2 4 3 2 2
m + 2*n + m*n + m*n - m *n - 2*n*m
$$- \frac{m \left(4 m^{2} n - 4 m n^{2} - m \left(m + n\right)^{2} + n \left(m + n\right)^{2}\right)}{- m^{3} n^{2} + m n^{4} + m^{3} - 2 m^{2} n + m n^{2} + 2 n^{3}}$$
m n 4*m*n
-------------------------- + -------------------------- - --------------------------------------------------------
2 m n 2*n 2 m n 2*n 2 2 2
- n + ----- - ----- - --- - n + ----- - ----- - --- 3 m 2 n 2*n m*n m*n
m + n n - m m m + n n - m m - n - 2*n + ----- - m*n - ----- - ---- + ----- - -----
m + n n - m m m + n n - m
$$- \frac{4 m n}{- m n^{2} - n^{3} + \frac{m^{2}}{m + n} + \frac{m n}{m + n} - \frac{m n}{- m + n} - \frac{n^{2}}{- m + n} - 2 n - \frac{2 n^{2}}{m}} + \frac{m}{- n^{2} + \frac{m}{m + n} - \frac{n}{- m + n} - \frac{2 n}{m}} + \frac{n}{- n^{2} + \frac{m}{m + n} - \frac{n}{- m + n} - \frac{2 n}{m}}$$
m/(-n^2 + m/(m + n) - n/(n - m) - 2*n/m) + n/(-n^2 + m/(m + n) - n/(n - m) - 2*n/m) - 4*m*n/(-n^3 - 2*n + m^2/(m + n) - m*n^2 - n^2/(n - m) - 2*n^2/m + m*n/(m + n) - m*n/(n - m))