Подстановка условия
[src]
(c^2 - 1*9)/((c^2 + 6*c + 9)*(3 - c)*(c + 3)) при c = 1/2
2
c - 9
------------------------------
/ 2 \
\c + 6*c + 9/*(3 - c)*(c + 3)
$$\frac{c^{2} - 9}{\left(- c + 3\right) \left(c + 3\right) \left(c^{2} + 6 c + 9\right)}$$
-1
------------
2
9 + c + 6*c
$$- \frac{1}{c^{2} + 6 c + 9}$$
$$c = \frac{1}{2}$$
-1
--------------------
2
9 + (1/2) + 6*(1/2)
$$- \frac{1}{(1/2)^{2} + 6 (1/2) + 9}$$
$$- \frac{4}{49}$$
Рациональный знаменатель
[src]
2
9 c
- --------------------- + ---------------------
4 3 4 3
81 - c - 6*c + 54*c 81 - c - 6*c + 54*c
$$\frac{c^{2}}{- c^{4} - 6 c^{3} + 54 c + 81} - \frac{9}{- c^{4} - 6 c^{3} + 54 c + 81}$$
-9/(81 - c^4 - 6*c^3 + 54*c) + c^2/(81 - c^4 - 6*c^3 + 54*c)