Подстановка условия
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x^3 - 9*x^2 + 108 + (a^2 - 108*a)*log(x) - a при a = -1
3 2 / 2 \
x - 9*x + 108 + \a - 108*a/*log(x) - a
$$x^{3} - 9 x^{2} + \left(a^{2} - 108 a\right) \log{\left(x \right)} - a + 108$$
3 2
108 + x - a - 9*x + a*(-108 + a)*log(x)
$$a \left(a - 108\right) \log{\left(x \right)} + x^{3} - 9 x^{2} - a + 108$$
$$a = -1$$
3 2
108 + x - (-1) - 9*x + (-1)*(-108 + (-1))*log(x)
$$(-1) \left((-1) - 108\right) \log{\left(x \right)} + x^{3} - 9 x^{2} - (-1) + 108$$
3 2
108 + x - -1 - 9*x - (-108 - 1)*log(x)
$$x^{3} - 9 x^{2} - \left(-108 - 1\right) \log{\left(x \right)} - -1 + 108$$
3 2
109 + x - 9*x + 109*log(x)
$$x^{3} - 9 x^{2} + 109 \log{\left(x \right)} + 109$$
109 + x^3 - 9*x^2 + 109*log(x)
3 2 2
108 + x - a - 9*x + a *log(x) - 108*a*log(x)
$$a^{2} \log{\left(x \right)} + x^{3} - 108 a \log{\left(x \right)} - 9 x^{2} - a + 108$$
108 + x^3 - a - 9*x^2 + a^2*log(x) - 108*a*log(x)
Рациональный знаменатель
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3 2 2
108 + x - a - 9*x + a *log(x) - 108*a*log(x)
$$a^{2} \log{\left(x \right)} + x^{3} - 108 a \log{\left(x \right)} - 9 x^{2} - a + 108$$
108 + x^3 - a - 9*x^2 + a^2*log(x) - 108*a*log(x)
Объединение рациональных выражений
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3 2
108 + x - a - 9*x + a*(-108 + a)*log(x)
$$a \left(a - 108\right) \log{\left(x \right)} + x^{3} - 9 x^{2} - a + 108$$
108 + x^3 - a - 9*x^2 + a*(-108 + a)*log(x)
3 2 2
108 + x - a - 9*x + a *log(x) - 108*a*log(x)
$$a^{2} \log{\left(x \right)} + x^{3} - 108 a \log{\left(x \right)} - 9 x^{2} - a + 108$$
108 + x^3 - a - 9*x^2 + a^2*log(x) - 108*a*log(x)
3 2 / / 108\\ 2
108 + x - 9*x + a*\-1 - log\x // + a *log(x)
$$a^{2} \log{\left(x \right)} + x^{3} + a \left(- \log{\left(x^{108} \right)} - 1\right) - 9 x^{2} + 108$$
108 + x^3 - 9*x^2 + a*(-1 - log(x^108)) + a^2*log(x)