5 4 3 2
-4 + c - 748*c - 8*c + 5*c + 202*c
--------------------------------------
3 2
-50 + c - 25*c + 2*c
$$\frac{c^{5} - 8 c^{4} + 5 c^{3} + 202 c^{2} - 748 c - 4}{c^{3} + 2 c^{2} - 25 c - 50}$$
(-4 + c^5 - 748*c - 8*c^4 + 5*c^3 + 202*c^2)/(-50 + c^3 - 25*c + 2*c^2)
50 + c^2 - 100/(2 + c) - 10*c + 4/(5*(-5 + c)) + 6/(5*(5 + c))
$$c^{2} - 10 c + 50 + \frac{6}{5 \left(c + 5\right)} - \frac{100}{c + 2} + \frac{4}{5 \left(c - 5\right)}$$
2 100 4 6
50 + c - ----- - 10*c + ---------- + ---------
2 + c 5*(-5 + c) 5*(5 + c)
c^2 + 2.0/(5.0 + c) + 8.0/(-25.0 + c^2) - 10.0*c + 100.0*c/(4.0 + 2.0*c)
c^2 + 2.0/(5.0 + c) + 8.0/(-25.0 + c^2) - 10.0*c + 100.0*c/(4.0 + 2.0*c)
Объединение рациональных выражений
[src]
/ 2\ / 2\ 2 / 2\ / 2\
2*\-25 + c /*(2 + c) + 8*(2 + c)*(5 + c) + 50*c*\-25 + c /*(5 + c) + c *\-25 + c /*(2 + c)*(5 + c) - 10*c*\-25 + c /*(2 + c)*(5 + c)
------------------------------------------------------------------------------------------------------------------------------------
/ 2\
\-25 + c /*(2 + c)*(5 + c)
$$\frac{c^{2} \left(c + 2\right) \left(c + 5\right) \left(c^{2} - 25\right) - 10 c \left(c + 2\right) \left(c + 5\right) \left(c^{2} - 25\right) + 50 c \left(c + 5\right) \left(c^{2} - 25\right) + 8 \left(c + 2\right) \left(c + 5\right) + 2 \left(c + 2\right) \left(c^{2} - 25\right)}{\left(c + 2\right) \left(c + 5\right) \left(c^{2} - 25\right)}$$
(2*(-25 + c^2)*(2 + c) + 8*(2 + c)*(5 + c) + 50*c*(-25 + c^2)*(5 + c) + c^2*(-25 + c^2)*(2 + c)*(5 + c) - 10*c*(-25 + c^2)*(2 + c)*(5 + c))/((-25 + c^2)*(2 + c)*(5 + c))
2 2 8 100*c
c - 10*c + ----- + -------- + -------
5 + c 2 4 + 2*c
-25 + c
$$c^{2} - 10 c + \frac{100 c}{2 c + 4} + \frac{8}{c^{2} - 25} + \frac{2}{c + 5}$$
c^2 - 10*c + 2/(5 + c) + 8/(-25 + c^2) + 100*c/(4 + 2*c)
5 4 3 2
-4 + c - 748*c - 8*c + 5*c + 202*c
--------------------------------------
(-5 + c)*(2 + c)*(5 + c)
$$\frac{c^{5} - 8 c^{4} + 5 c^{3} + 202 c^{2} - 748 c - 4}{\left(c - 5\right) \left(c + 2\right) \left(c + 5\right)}$$
(-4 + c^5 - 748*c - 8*c^4 + 5*c^3 + 202*c^2)/((-5 + c)*(2 + c)*(5 + c))
2
2 2496 - 98*c + 2*c
50 + c - 10*c + ----------------------
3 2
-50 + c - 25*c + 2*c
$$c^{2} - 10 c + \frac{- 98 c^{2} + 2 c + 2496}{c^{3} + 2 c^{2} - 25 c - 50} + 50$$
50 + c^2 - 10*c + (2496 - 98*c^2 + 2*c)/(-50 + c^3 - 25*c + 2*c^2)
Рациональный знаменатель
[src]
2 2 8 100*c
c - 10*c + ----- + -------- + -------
5 + c 2 4 + 2*c
-25 + c
$$c^{2} - 10 c + \frac{100 c}{2 c + 4} + \frac{8}{c^{2} - 25} + \frac{2}{c + 5}$$
/ 2\ / 2\ / 2\ / 2 \
2*\-25 + c /*(4 + 2*c) + 8*(4 + 2*c)*(5 + c) + 100*c*\-25 + c /*(5 + c) + \-25 + c /*(4 + 2*c)*(5 + c)*\c - 10*c/
------------------------------------------------------------------------------------------------------------------
/ 2\
\-25 + c /*(4 + 2*c)*(5 + c)
$$\frac{\left(c + 5\right) \left(2 c + 4\right) \left(c^{2} - 25\right) \left(c^{2} - 10 c\right) + 100 c \left(c + 5\right) \left(c^{2} - 25\right) + 8 \left(c + 5\right) \left(2 c + 4\right) + 2 \cdot \left(2 c + 4\right) \left(c^{2} - 25\right)}{\left(c + 5\right) \left(2 c + 4\right) \left(c^{2} - 25\right)}$$
(2*(-25 + c^2)*(4 + 2*c) + 8*(4 + 2*c)*(5 + c) + 100*c*(-25 + c^2)*(5 + c) + (-25 + c^2)*(4 + 2*c)*(5 + c)*(c^2 - 10*c))/((-25 + c^2)*(4 + 2*c)*(5 + c))
2 2 8 100*c
c - 10*c + ----- + ------- + -------
c + 5 2 2*c + 4
c - 25
$$c^{2} - 10 c + \frac{100 c}{2 c + 4} + \frac{8}{c^{2} - 25} + \frac{2}{c + 5}$$
2 2 8 100*c
c - 10*c + ----- + -------- + -------
5 + c 2 4 + 2*c
-25 + c
$$c^{2} - 10 c + \frac{100 c}{2 c + 4} + \frac{8}{c^{2} - 25} + \frac{2}{c + 5}$$
c^2 - 10*c + 2/(5 + c) + 8/(-25 + c^2) + 100*c/(4 + 2*c)