Разложение на множители
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/ 3 ___ 5/6\ / 3 ___ 5/6\
/ 3 ___\ / ___\ / ___\ | \/ 3 I*3 | | \/ 3 I*3 |
1*(x + 1)*\x - \/ 3 /*\x + I*\/ 2 /*\x - I*\/ 2 /*|x + ----- + ------|*|x + ----- - ------|
\ 2 2 / \ 2 2 /
$$1 \left(x + 1\right) \left(x - \sqrt[3]{3}\right) \left(x + \sqrt{2} i\right) \left(x - \sqrt{2} i\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} + \frac{3^{\frac{5}{6}} i}{2}\right)\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} - \frac{3^{\frac{5}{6}} i}{2}\right)\right)$$
(((((1*(x + 1))*(x - 3^(1/3)))*(x + i*sqrt(2)))*(x - i*sqrt(2)))*(x + (3^(1/3)/2 + i*3^(5/6)/2)))*(x + (3^(1/3)/2 - i*3^(5/6)/2))
Рациональный знаменатель
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2 2
2 / 3\ 2 2 / 3\
2*(1 + x) *\-3 + x / + x *(1 + x) *\-3 + x /
$$x^{2} \left(x + 1\right)^{2} \left(x^{3} - 3\right)^{2} + 2 \left(x + 1\right)^{2} \left(x^{3} - 3\right)^{2}$$
2*(1 + x)^2*(-3 + x^3)^2 + x^2*(1 + x)^2*(-3 + x^3)^2
10 5 4 6 7 9 8 3 2
18 + x - 18*x - 15*x - 10*x - 2*x + 2*x + 3*x + 6*x + 27*x + 36*x
$$x^{10} + 2 x^{9} + 3 x^{8} - 2 x^{7} - 10 x^{6} - 18 x^{5} - 15 x^{4} + 6 x^{3} + 27 x^{2} + 36 x + 18$$
18 + x^10 - 18*x^5 - 15*x^4 - 10*x^6 - 2*x^7 + 2*x^9 + 3*x^8 + 6*x^3 + 27*x^2 + 36*x