/ 4 \
3*\q - 24*p + 24*p*x/
-----------------------
/ 2\
2*q*\-8 + 8*x + 9*q*p /
$$\frac{3 \cdot \left(q^{4} + 24 p x - 24 p\right)}{2 q \left(9 p^{2} q + 8 x - 8\right)}$$
3*(q^4 - 24*p + 24*p*x)/(2*q*(-8 + 8*x + 9*q*p^2))
Объединение рациональных выражений
[src]
/ / 3 3\ / 2\\
3*\q*\q - 27*p / + 3*p*\-8 + 8*x + 9*q*p //
--------------------------------------------
/ 2\
2*q*\-8 + 8*x + 9*q*p /
$$\frac{3 \cdot \left(3 p \left(9 p^{2} q + 8 x - 8\right) + q \left(- 27 p^{3} + q^{3}\right)\right)}{2 q \left(9 p^{2} q + 8 x - 8\right)}$$
3*(q*(q^3 - 27*p^3) + 3*p*(-8 + 8*x + 9*q*p^2))/(2*q*(-8 + 8*x + 9*q*p^2))
/ 4 \
3*\q - 24*p + 24*p*x/
-----------------------
/ 2\
2*q*\-8 + 8*x + 9*q*p /
$$\frac{3 \cdot \left(q^{4} + 24 p x - 24 p\right)}{2 q \left(9 p^{2} q + 8 x - 8\right)}$$
3*(q^4 - 24*p + 24*p*x)/(2*q*(-8 + 8*x + 9*q*p^2))
Рациональный знаменатель
[src]
3 3 3 2 2
81*p 3*q 9*p 54*q*p 81*p*q
- -------------------- + -------------------- + ------------------------ - ------------------------ + ------------------------
2 2 3 2 2 3 2 2 3 2 2
-16 + 16*x + 18*q*p -16 + 16*x + 18*q*p 18*q - 12*p*q + 2*q*p 18*q - 12*p*q + 2*q*p 18*q - 12*p*q + 2*q*p
$$- \frac{81 p^{3}}{18 p^{2} q + 16 x - 16} + \frac{9 p^{3}}{2 p^{2} q - 12 p q^{2} + 18 q^{3}} - \frac{54 p^{2} q}{2 p^{2} q - 12 p q^{2} + 18 q^{3}} + \frac{81 p q^{2}}{2 p^{2} q - 12 p q^{2} + 18 q^{3}} + \frac{3 q^{3}}{18 p^{2} q + 16 x - 16}$$
/ 3 3\ / 3 2 2\ / 2\ / 3 2 2\
\- 81*p + 3*q /*\18*q - 12*p*q + 2*q*p / + \-16 + 16*x + 18*q*p /*\9*p - 54*q*p + 81*p*q /
-----------------------------------------------------------------------------------------------
/ 2\ / 3 2 2\
\-16 + 16*x + 18*q*p /*\18*q - 12*p*q + 2*q*p /
$$\frac{\left(- 81 p^{3} + 3 q^{3}\right) \left(2 p^{2} q - 12 p q^{2} + 18 q^{3}\right) + \left(9 p^{3} - 54 p^{2} q + 81 p q^{2}\right) \left(18 p^{2} q + 16 x - 16\right)}{\left(2 p^{2} q - 12 p q^{2} + 18 q^{3}\right) \left(18 p^{2} q + 16 x - 16\right)}$$
((-81*p^3 + 3*q^3)*(18*q^3 - 12*p*q^2 + 2*q*p^2) + (-16 + 16*x + 18*q*p^2)*(9*p^3 - 54*q*p^2 + 81*p*q^2))/((-16 + 16*x + 18*q*p^2)*(18*q^3 - 12*p*q^2 + 2*q*p^2))
4
-72*p + 3*q + 72*p*x
-------------------------
2 2
-16*q + 16*q*x + 18*p *q
$$\frac{3 q^{4} + 72 p x - 72 p}{18 p^{2} q^{2} + 16 q x - 16 q}$$
(-72*p + 3*q^4 + 72*p*x)/(-16*q + 16*q*x + 18*p^2*q^2)