What are the steps to evaluate this expression?

4-(3+2)^2
Subtract
Simplify the exponent
Simplify the parenthesis
**put in order**

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
19 days ago

To evaluate the expression \( 4 - (3 + 2)^2 \), you should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here are the steps in order:

1. **Simplify the Parentheses**: Calculate the expression inside the parentheses.
- \( 3 + 2 = 5 \)

2. **Simplify the Exponent**: Raise the result from the parentheses to the power of 2.
- \( 5^2 = 25 \)

3. **Subtract**: Substitute back into the expression and perform the subtraction.
- \( 4 - 25 = -21 \)

Putting it all together, the steps in order are:
1. Simplify the parentheses
2. Simplify the exponent
3. Subtract

Thus, the final result of evaluating the expression \( 4 - (3 + 2)^2 \) is \( -21 \).