Answer:
Upon simplifying, the result is
.
Option C is the correct one.
Explanation:
Step 1: Analyze the expression
The expression that is given is:
![5-[-(-2)]](https://img.qammunity.org/2023/formulas/mathematics/high-school/6h7ndyhsmlje5rtbp16yuz8li4tseh89l3.png)
Step 2: Start simplifying
Let's look at the component
of the expression.
It can also be written as:
![-1(-2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/yrta031qsjrjbffgc5iv5eqg4wmf02tm3m.png)
When a negative number is multiplied with another negative number, the product becomes positive (like:
), so that will apply here too:
![-1(-2)\\=-1* -2\\=2](https://img.qammunity.org/2023/formulas/mathematics/high-school/q2k31z1ycplc4uinkzcx09bfdklqz10kxg.png)
Having broken down this component, the expression now becomes:
![5-[-(-2)]](https://img.qammunity.org/2023/formulas/mathematics/high-school/6h7ndyhsmlje5rtbp16yuz8li4tseh89l3.png)
![5-(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2ofyzm0itq94w5xfy4h0vg8lxnfbn5ci18.png)
If we remove the brackets, we get:
![5-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/h06q2wax5utyjxob7vikkvdodtfiylkg70.png)
Which when calculated, gives the final result of:
![5-2\\=3](https://img.qammunity.org/2023/formulas/mathematics/high-school/l597goyqfaxglfk7yos1pf1yv9knaopeeh.png)