Let's solve the expression step by step:

\[
\frac{100}{4} \times (2+3)^2 - 200
\]

1. **Step 1**: Start by solving the parentheses:
\[
(2+3) = 5
\]

2. **Step 2**: Now square the result:
\[
5^2 = 25
\]

3. **Step 3**: Divide 100 by 4:
\[
\frac{100}{4} = 25
\]

4. **Step 4**: Multiply the results:
\[
25 \times 25 = 625
\]

5. **Step 5**: Subtract 200 from 625:
\[
625 - 200 = 425
\]

Thus, the final answer is:

\[
\boxed{425}
\]

Would you like further details or explanations on any of the steps?

Here are 5 related questions to explore further:

1. What happens if we change the exponent in the equation?
2. How does the order of operations affect the outcome of similar expressions?
3. What if the division was inside the parentheses, how would it change the solution?
4. How would the solution change if one of the numbers in the parentheses was negative?
5. Can this expression be represented using a graph?

**Tip**: Always remember the order of operations (PEMDAS/BODMAS) when solving complex mathematical expressions.

Discover how to solve the mathematical expression 100/4(2+3)^2-200 with step-by-step guidance. This problem explores key concepts such as order of operations (PEMDAS), exponents, and basic arithmetic. Suitable for students in Grades 6-8.

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