Given the expression:
![(2+3i)+(8-2i)](https://img.qammunity.org/2023/formulas/mathematics/college/uoy9yeq0g1ghhxwfsx4o9hy6b4ah7nqni3.png)
Let's find the equivalent expression from the choices given.
To find the equivalent expression, let simplify.
To simplify the expression, take the following steps:
• Remove the parentheses:
![2+3i+8-2i](https://img.qammunity.org/2023/formulas/mathematics/college/wsl163hiqbrbonir0znh4jc12wfyod8yzp.png)
• Combine like terms:
![\begin{gathered} 2+8+3i-2i \\ \\ 10+i \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kxf5seck3mxmzqox8u0ubpcdbafdf80ma8.png)
Therefore, the equivalent expression is:
![10+i](https://img.qammunity.org/2023/formulas/mathematics/college/wr8zxktwramks8ldnbr9y1b7o76x4w916r.png)
ANSWER: D
D. 10 + i