/ 2 \
-6 + 2*x (x*x - 6*x + 8)*\48 - 36*x + 4*x + 2*x*x/
--------------------------------- - ---------------------------------------------------------------
______________________________ ______________________________
3 / 2 3 / 2
\/ (x*x*x - 9*x*x + 24*x - 18) 3*\/ (x*x*x - 9*x*x + 24*x - 18) *(x*x*x - 9*x*x + 24*x - 18)
$$\frac{2 x - 6}{\sqrt[3]{\left(\left(24 x + \left(- x 9 x + x x x\right)\right) - 18\right)^{2}}} - \frac{\left(\left(- 6 x + x x\right) + 8\right) \left(4 x^{2} - 36 x + 2 x x + 48\right)}{3 \left(\left(24 x + \left(- x 9 x + x x x\right)\right) - 18\right) \sqrt[3]{\left(\left(24 x + \left(- x 9 x + x x x\right)\right) - 18\right)^{2}}}$$
/ / 2 \ \
| | / 2 \ | |
| | 5*\8 + x - 6*x/ | / 2 \ |
| |6 - 2*x + ----------------------|*\8 + x - 6*x/ |
| | 3 2 | / 2 \|
| \ -18 + x - 9*x + 24*x/ 4*(-3 + x)*\8 + x - 6*x/|
2*|1 + ------------------------------------------------- + -------------------------|
| 3 2 3 2 |
\ -18 + x - 9*x + 24*x 18 - x - 24*x + 9*x /
-------------------------------------------------------------------------------------
2/3
| 3 2 |
|-18 + x - 9*x + 24*x|
$$\frac{2 \left(\frac{4 \left(x - 3\right) \left(x^{2} - 6 x + 8\right)}{- x^{3} + 9 x^{2} - 24 x + 18} + \frac{\left(- 2 x + \frac{5 \left(x^{2} - 6 x + 8\right)^{2}}{x^{3} - 9 x^{2} + 24 x - 18} + 6\right) \left(x^{2} - 6 x + 8\right)}{x^{3} - 9 x^{2} + 24 x - 18} + 1\right)}{\left|{x^{3} - 9 x^{2} + 24 x - 18}\right|^{\frac{2}{3}}}$$
/ / 3 \ \
| | / 2 \ / 2 \| / 2 \|
| | 20*\8 + x - 6*x/ 15*(-3 + x)*\8 + x - 6*x/| / 2 \ | / 2 \ ||
| |1 + ------------------------- - --------------------------|*\8 + x - 6*x/ | 5*\8 + x - 6*x/ ||
| | 2 3 2 | 3*(-3 + x)*|6 - 2*x + ----------------------||
| / 2 \ | / 3 2 \ -18 + x - 9*x + 24*x | | 3 2 ||
| 3*\8 + x - 6*x/ \ \-18 + x - 9*x + 24*x/ / \ -18 + x - 9*x + 24*x/|
4*|--------------------- - --------------------------------------------------------------------------- + ---------------------------------------------|
| 3 2 3 2 3 2 |
\18 - x - 24*x + 9*x -18 + x - 9*x + 24*x -18 + x - 9*x + 24*x /
-------------------------------------------------------------------------------------------------------------------------------------------------------
2/3
| 3 2 |
|-18 + x - 9*x + 24*x|
$$\frac{4 \left(\frac{3 \left(x - 3\right) \left(- 2 x + \frac{5 \left(x^{2} - 6 x + 8\right)^{2}}{x^{3} - 9 x^{2} + 24 x - 18} + 6\right)}{x^{3} - 9 x^{2} + 24 x - 18} - \frac{\left(x^{2} - 6 x + 8\right) \left(- \frac{15 \left(x - 3\right) \left(x^{2} - 6 x + 8\right)}{x^{3} - 9 x^{2} + 24 x - 18} + \frac{20 \left(x^{2} - 6 x + 8\right)^{3}}{\left(x^{3} - 9 x^{2} + 24 x - 18\right)^{2}} + 1\right)}{x^{3} - 9 x^{2} + 24 x - 18} + \frac{3 \left(x^{2} - 6 x + 8\right)}{- x^{3} + 9 x^{2} - 24 x + 18}\right)}{\left|{x^{3} - 9 x^{2} + 24 x - 18}\right|^{\frac{2}{3}}}$$