Answer:
The expression can be written in the form a+bi as;
![-5-13i](https://img.qammunity.org/2023/formulas/mathematics/high-school/o4gu5rqa10gj99ef5n4hnel7le4g1ccw9n.png)
Step-by-step explanation:
We want to simplify the given expression to the form;
![a+bi](https://img.qammunity.org/2023/formulas/mathematics/college/rdvknnahzfhskzzx1h6ufndq0f5mkx9gg6.png)
Given the expression;
![(-9-8i)-(-4+5i)](https://img.qammunity.org/2023/formulas/mathematics/high-school/cnz8gw5f50z0kt716anj7vcdcj2ey6ydgi.png)
solving we have;
![\begin{gathered} (-9-8i)-(-4+5i) \\ =-9-8i-(-4)-(5i)_{} \\ =-9-8i+4-5i \\ =-9+4-8i-5i \\ =-5-13i \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/df3pxfrpzzbw2y20gag3y8sgb9t7fswkqh.png)
Therefore, the expression can be written in the form a+bi as;
![-5-13i](https://img.qammunity.org/2023/formulas/mathematics/high-school/o4gu5rqa10gj99ef5n4hnel7le4g1ccw9n.png)
where;
a = -5
b = -13