10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
Подстановка условия
[src]
5*t^8*s^10*(4*t^2 - 6*c^2 - 1*3)/2 + 15*t^8*c^2*s^10 - 10*t^10*s^10 при c = 4
8 10 / 2 2 \
5*t *s *\4*t - 6*c - 3/ 8 2 10 10 10
-------------------------- + 15*t *c *s - 10*t *s
2
$$15 c^{2} s^{10} t^{8} - 10 s^{10} t^{10} + \frac{5 s^{10} t^{8} \left(- 6 c^{2} + 4 t^{2} - 3\right)}{2}$$
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
$$c = 4$$
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
-10.0*s^10*t^10 + 2.5*s^10*t^8*(-3.0 + 4.0*t^2 - 6.0*c^2) + 15.0*c^2*s^10*t^8
-10.0*s^10*t^10 + 2.5*s^10*t^8*(-3.0 + 4.0*t^2 - 6.0*c^2) + 15.0*c^2*s^10*t^8
/ 8 / 2 2\\
10 | 10 2 8 5*t *\-3 - 6*c + 4*t /|
s *|- 10*t + 15*c *t + -----------------------|
\ 2 /
$$s^{10} \cdot \left(15 c^{2} t^{8} - 10 t^{10} + \frac{5 t^{8} \left(- 6 c^{2} + 4 t^{2} - 3\right)}{2}\right)$$
/ 8 / 2 2\\
10 | 10 5*t *\-3 - 6*c + 4*t /| 2 10 8
s *|- 10*t + -----------------------| + 15*c *s *t
\ 2 /
$$15 c^{2} s^{10} t^{8} + s^{10} \left(- 10 t^{10} + \frac{5 t^{8} \left(- 6 c^{2} + 4 t^{2} - 3\right)}{2}\right)$$
/ 10 / 2 2\\
8 | 2 10 5*s *\-3 - 6*c + 4*t /| 10 10
t *|15*c *s + ------------------------| - 10*s *t
\ 2 /
$$- 10 s^{10} t^{10} + t^{8} \cdot \left(15 c^{2} s^{10} + \frac{5 s^{10} \left(- 6 c^{2} + 4 t^{2} - 3\right)}{2}\right)$$
t^8*(15*c^2*s^10 + 5*s^10*(-3 - 6*c^2 + 4*t^2)/2) - 10*s^10*t^10
Объединение рациональных выражений
[src]
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
Рациональный знаменатель
[src]
10 8
-15*s *t
----------
2
$$- \frac{15 s^{10} t^{8}}{2}$$
10 10 10 8 / 2 2\ 2 10 8
- 20*s *t + 5*s *t *\-3 - 6*c + 4*t / + 30*c *s *t
---------------------------------------------------------
2
$$\frac{30 c^{2} s^{10} t^{8} - 20 s^{10} t^{10} + 5 s^{10} t^{8} \left(- 6 c^{2} + 4 t^{2} - 3\right)}{2}$$
(-20*s^10*t^10 + 5*s^10*t^8*(-3 - 6*c^2 + 4*t^2) + 30*c^2*s^10*t^8)/2
10 10 10 8 / 15 2 2\ 2 10 8
- 10*s *t + s *t *|- -- - 15*c + 10*t | + 15*c *s *t
\ 2 /
$$15 c^{2} s^{10} t^{8} - 10 s^{10} t^{10} + s^{10} t^{8} \left(- 15 c^{2} + 10 t^{2} - \frac{15}{2}\right)$$
-10*s^10*t^10 + s^10*t^8*(-15/2 - 15*c^2 + 10*t^2) + 15*c^2*s^10*t^8