Разложение на множители
[src]
/ ____________________________________________ \ / ____________________________________________ \ / ____________________________________________ \
| / ______________________________ | | / ______________________________ | | / ______________________________ |
| / / 3 | | / / 3 | | / / 3 |
| / / / 2\ 6 | | / / / 2\ 6 / ___\ | | / / / 2\ 6 / ___\ |
| / \/ - 4*\-3*b - 3*b / + 2916*b 3 | | / \/ - 4*\-3*b - 3*b / + 2916*b 3 | 1 I*\/ 3 | | | / \/ - 4*\-3*b - 3*b / + 2916*b 3 | 1 I*\/ 3 | |
| 3 / ---------------------------------- - 27*b 2 | | 3 / ---------------------------------- - 27*b *|- - - -------| 2 | | 3 / ---------------------------------- - 27*b *|- - + -------| 2 |
| \/ 2 -3*b - 3*b | | \/ 2 \ 2 2 / -3*b - 3*b | | \/ 2 \ 2 2 / -3*b - 3*b |
1*|a + --------------------------------------------------- + -----------------------------------------------------|*|a + ------------------------------------------------------------------- + ---------------------------------------------------------------------|*|a + ------------------------------------------------------------------- + ---------------------------------------------------------------------|
| 3 ____________________________________________| | 3 ____________________________________________| | 3 ____________________________________________|
| / ______________________________ | | / ______________________________ | | / ______________________________ |
| / / 3 | | / / 3 | | / / 3 |
| / / / 2\ 6 | | / ___\ / / / 2\ 6 | | / ___\ / / / 2\ 6 |
| / \/ - 4*\-3*b - 3*b / + 2916*b 3 | | | 1 I*\/ 3 | / \/ - 4*\-3*b - 3*b / + 2916*b 3 | | | 1 I*\/ 3 | / \/ - 4*\-3*b - 3*b / + 2916*b 3 |
| 3*3 / ---------------------------------- - 27*b | | 3*|- - - -------|*3 / ---------------------------------- - 27*b | | 3*|- - + -------|*3 / ---------------------------------- - 27*b |
\ \/ 2 / \ \ 2 2 / \/ 2 / \ \ 2 2 / \/ 2 /
$$1 \left(a + \left(\frac{\sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}{3} + \frac{- 3 b^{2} - 3 b}{3 \sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}\right)\right) \left(a + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}{3} + \frac{- 3 b^{2} - 3 b}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}\right)\right) \left(a + \left(\frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}{3} + \frac{- 3 b^{2} - 3 b}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{- 27 b^{3} + \frac{\sqrt{2916 b^{6} - 4 \left(- 3 b^{2} - 3 b\right)^{3}}}{2}}}\right)\right)$$
((1*(a + ((sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3)/3 + (-3*b - 3*b^2)/(3*(sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3)))))*(a + ((sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3)*(-1/2 - i*sqrt(3)/2)/3 + (-3*b - 3*b^2)/(3*(-1/2 - i*sqrt(3)/2)*(sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3)))))*(a + ((sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3)*(-1/2 + i*sqrt(3)/2)/3 + (-3*b - 3*b^2)/(3*(-1/2 + i*sqrt(3)/2)*(sqrt(-4*(-3*b - 3*b^2)^3 + 2916*b^6)/2 - 27*b^3)^(1/3))))