Given:
The expression is:
![8(39+11)](https://img.qammunity.org/2022/formulas/mathematics/high-school/z84qxrxjp18cjeguzfblzfjmwjxbe9ltia.png)
To find:
The simplified form of the given expression by using the Distributive Property.
Solution:
Distributive property of multiplication over addition:
![a(b+c)=ab+ac](https://img.qammunity.org/2022/formulas/mathematics/high-school/62nyhk3xusdq4gpxj7shups73pxykegiqb.png)
We have,
![8(39+11)](https://img.qammunity.org/2022/formulas/mathematics/high-school/z84qxrxjp18cjeguzfblzfjmwjxbe9ltia.png)
Using Distributive property of multiplication over addition, we get
![8(39+11)=(8* 39)+(8* 11)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9wznseu62q5adt85njm939bzc3ilc46p9c.png)
![8(39+11)=312+88](https://img.qammunity.org/2022/formulas/mathematics/high-school/1ouc3ld8w3skfr1eix3u3tsocvnl184tcu.png)
![8(39+11)=400](https://img.qammunity.org/2022/formulas/mathematics/high-school/sxzgf7dln9dzz9r4h6y4wywtmjmi6tunjh.png)
Therefore, the correct option is D.