Calculate: (x-(-5-4i)) * (x-(-5+4i))

Expression: $$x ^ { 3 } - 8$$

Rewrite $x^{3}-8$ as $x^{3}-2^{3}$. The difference of cubes can be factored using the rule: $a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right)$. Polynomial $x^{2}+2x+4$ is not factored since it does not have any rational roots.

$$\left(x-2\right)\left(x^{2}+2x+4\right)$$