2 - 22/(5*(5 + a)) - 3/(5*(-5 + a))
$$2 - \frac{22}{5 \left(a + 5\right)} - \frac{3}{5 \left(a - 5\right)}$$
22 3
2 - --------- - ----------
5*(5 + a) 5*(-5 + a)
2
-31 - 5*a + 2*a
----------------
2
-25 + a
$$\frac{2 a^{2} - 5 a - 31}{a^{2} - 25}$$
(-31 - 5*a + 2*a^2)/(-25 + a^2)
2.0 - 4.0/(5.0 + a) + (1.0 + a)/(25.0 - a^2)
2.0 - 4.0/(5.0 + a) + (1.0 + a)/(25.0 - a^2)
Объединение рациональных выражений
[src]
2 / 2\
-100 + 4*a + (1 + a)*(5 + a) + 2*(5 + a)*\25 - a /
---------------------------------------------------
/ 2\
(5 + a)*\25 - a /
$$\frac{4 a^{2} + 2 \cdot \left(- a^{2} + 25\right) \left(a + 5\right) + \left(a + 1\right) \left(a + 5\right) - 100}{\left(- a^{2} + 25\right) \left(a + 5\right)}$$
(-100 + 4*a^2 + (1 + a)*(5 + a) + 2*(5 + a)*(25 - a^2))/((5 + a)*(25 - a^2))
19 - 5*a
2 + --------
2
-25 + a
$$\frac{- 5 a + 19}{a^{2} - 25} + 2$$
2 + (19 - 5*a)/(-25 + a^2)
2
-31 - 5*a + 2*a
----------------
(-5 + a)*(5 + a)
$$\frac{2 a^{2} - 5 a - 31}{\left(a - 5\right) \left(a + 5\right)}$$
(-31 - 5*a + 2*a^2)/((-5 + a)*(5 + a))
Рациональный знаменатель
[src]
1 4 a
2 + ------- - ----- + -------
2 5 + a 2
25 - a 25 - a
$$\frac{a}{- a^{2} + 25} + 2 - \frac{4}{a + 5} + \frac{1}{- a^{2} + 25}$$
2 / 2\
-100 + 4*a + (1 + a)*(5 + a) + 2*(5 + a)*\25 - a /
---------------------------------------------------
/ 2\
(5 + a)*\25 - a /
$$\frac{4 a^{2} + 2 \cdot \left(- a^{2} + 25\right) \left(a + 5\right) + \left(a + 1\right) \left(a + 5\right) - 100}{\left(- a^{2} + 25\right) \left(a + 5\right)}$$
(-100 + 4*a^2 + (1 + a)*(5 + a) + 2*(5 + a)*(25 - a^2))/((5 + a)*(25 - a^2))