Рациональный знаменатель
[src]
2
-54 + 294*a
--------------------
(-3 + 7*a)*(3 + 7*a)
$$\frac{294 a^{2} - 54}{\left(7 a - 3\right) \left(7 a + 3\right)}$$
2 2
9 9 49*a 49*a
- -------- + ------- - ------- + --------
-3 + 7*a 3 + 7*a 3 + 7*a -3 + 7*a
$$- \frac{49 a^{2}}{7 a + 3} + \frac{49 a^{2}}{7 a - 3} + \frac{9}{7 a + 3} - \frac{9}{7 a - 3}$$
-9/(-3 + 7*a) + 9/(3 + 7*a) - 49*a^2/(3 + 7*a) + 49*a^2/(-3 + 7*a)
/ 2\ / 1 1 \
\-9 + 49*a /*|-------- - -------|
\-3 + 7*a 3 + 7*a/
$$\left(49 a^{2} - 9\right) \left(- \frac{1}{7 a + 3} + \frac{1}{7 a - 3}\right)$$
(-9 + 49*a^2)*(1/(-3 + 7*a) - 1/(3 + 7*a))
Объединение рациональных выражений
[src]
/ 2\
6*\-9 + 49*a /
--------------------
(-3 + 7*a)*(3 + 7*a)
$$\frac{6 \cdot \left(49 a^{2} - 9\right)}{\left(7 a - 3\right) \left(7 a + 3\right)}$$
6*(-9 + 49*a^2)/((-3 + 7*a)*(3 + 7*a))
/ 2\ / 1 1 \
\-9 + 49*a /*|------- - -------|
\7*a - 3 7*a + 3/
$$\left(49 a^{2} - 9\right) \left(\frac{1}{7 a - 3} - \frac{1}{7 a + 3}\right)$$
/ 2\ / 1 1 \
\-9 + 49*a /*|-------- - -------|
\-3 + 7*a 3 + 7*a/
$$\left(49 a^{2} - 9\right) \left(- \frac{1}{7 a + 3} + \frac{1}{7 a - 3}\right)$$
(-9 + 49*a^2)*(1/(-3 + 7*a) - 1/(3 + 7*a))