SOLUTION
The expanded form of the expression (−³ − √)⁸ is so long to solve here.
But using a calculator, the expanded form is
[tex]\begin{gathered} x^{24}+16\sqrt{x^{43}}+112x^{19}+448\sqrt{x^{33}}+1120x^{14}+1792\sqrt{x^{23}}+1792x^9 \\ +1024\sqrt{x^{13}}+256x^4 \end{gathered}[/tex]So from the expanded form given, we can see that the coefficient of ⁹ is 1792
Hence the answer is 1792
