1 1 2
1 + -------- - - + 3*a + 3*a
2 a
(1 + a)
$$3 a^{2} + 3 a + 1 + \frac{1}{\left(a + 1\right)^{2}} - \frac{1}{a}$$
1.0 + (1.0 + a)^(-2) - 1/a + 3.0*a + 3.0*a^2
Рациональный знаменатель
[src] 2 2 / 2 / 2 \ 2\
- (1 + a) + a*(1 + a) + a*\1 + (1 + a) *\3*a + 4*a/ - a*(1 + a) /
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2
a*(1 + a)
$$\frac{1}{a \left(a + 1\right)^{2}} \left(a \left(a + 1\right)^{2} + a \left(- a \left(a + 1\right)^{2} + \left(a + 1\right)^{2} \left(3 a^{2} + 4 a\right) + 1\right) - \left(a + 1\right)^{2}\right)$$
Объединение рациональных выражений
[src] 2 2 / 2 2 \
- (1 + a) + a*(1 + a) + a*\1 - a*(1 + a) + a*(1 + a) *(4 + 3*a)/
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2
a*(1 + a)
$$\frac{1}{a \left(a + 1\right)^{2}} \left(a \left(a + 1\right)^{2} + a \left(a \left(a + 1\right)^{2} \left(3 a + 4\right) - a \left(a + 1\right)^{2} + 1\right) - \left(a + 1\right)^{2}\right)$$
1 1 2
1 + -------- - - + 3*a + 3*a
2 a
(1 + a)
$$3 a^{2} + 3 a + 1 + \frac{1}{\left(a + 1\right)^{2}} - \frac{1}{a}$$
1 1 2
1 + -------- - - + 3*a + 3*a
2 a
(a + 1)
$$3 a^{2} + 3 a + 1 + \frac{1}{\left(a + 1\right)^{2}} - \frac{1}{a}$$
5 2 4 3
-1 + 3*a + 4*a + 9*a + 10*a
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2
a*(1 + a)
$$\frac{1}{a \left(a + 1\right)^{2}} \left(3 a^{5} + 9 a^{4} + 10 a^{3} + 4 a^{2} - 1\right)$$
2
2 1 + a + a
1 + 3*a + 3*a - -------------
3 2
a + a + 2*a
$$3 a^{2} + 3 a - \frac{a^{2} + a + 1}{a^{3} + 2 a^{2} + a} + 1$$