For this case we must simplify the following expression:
![(-6 + 7i) - (3 + 2i) =](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4deai209gppx78sgcrh7kg8nep7jvu9fw4.png)
Applying distributive property to the terms of the second parenthesis we have:
Taking into account that:
![+ * - = -\\-6 + 7i-3-2i =](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1ghlt8krhcxhzoihnzqdki5kr4e8wc74u0.png)
Adding similar terms:
![-6-3 + 7i-2i =](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g3x9p1ccm1ucf8wxwkcup520v8jazh1jwi.png)
We take into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
![-9 + 5i](https://img.qammunity.org/2020/formulas/mathematics/middle-school/59whsamdn5z6yb9kjhr0rr4omoj60o5gfh.png)
Answer:
![-9 + 5i](https://img.qammunity.org/2020/formulas/mathematics/middle-school/59whsamdn5z6yb9kjhr0rr4omoj60o5gfh.png)