https://file.aiquickdraw.com/mathbot/file/1726596034044o7dcdf32.jpg

The expression shown in the image is:

\[
100 - [5 + 4 \times (2 + 5)]
\]

Let's simplify it step by step.

1. First, handle the parentheses: 
   \[
   2 + 5 = 7
   \]

   Now, the expression becomes:
   \[
   100 - [5 + 4 \times 7]
   \]

2. Next, perform the multiplication:
   \[
   4 \times 7 = 28
   \]

   Now the expression is:
   \[
   100 - [5 + 28]
   \]

3. Now, simplify inside the brackets:
   \[
   5 + 28 = 33
   \]

   The expression now becomes:
   \[
   100 - 33
   \]

4. Finally, perform the subtraction:
   \[
   100 - 33 = 67
   \]

Thus, the simplified result is:

\[
\boxed{67}
\]

Would you like more details or further clarification?

---

Here are 5 related questions to deepen understanding:

1. What is the order of operations, and why does it matter?
2. How would the result change if the parentheses were placed differently?
3. Can this same problem be represented with variables instead of numbers?
4. What happens if one of the terms inside the brackets is a negative number?
5. How would you apply this simplification in solving more complex algebraic expressions?

**Tip:** Always solve expressions inside parentheses first, followed by exponents, multiplication/division, and then addition/subtraction (PEMDAS rule).

Learn how to simplify the arithmetic expression 100 - [5 + 4 * (2 + 5)] using the order of operations (PEMDAS). This problem covers key arithmetic concepts and is suitable for students in Grades 6-8.

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