https://file.aiquickdraw.com/mathbot/file/1727191879156ypaelan9.jpg

The expression in the image is:

\[
\left( \frac{1}{2} - \frac{3}{2} \right)^2 + \left( 4 + 1 \right)^2
\]

Let’s break this down step by step.

1. **First term**:
   \[
   \frac{1}{2} - \frac{3}{2} = -\frac{2}{2} = -1
   \]
   Squaring this:
   \[
   (-1)^2 = 1
   \]

2. **Second term**:
   \[
   4 + 1 = 5
   \]
   Squaring this:
   \[
   5^2 = 25
   \]

Finally, adding both results together:
\[
1 + 25 = 26
\]

So, the value of the expression is **26**.

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify expressions involving fractions?
2. What are the basic rules for squaring negative numbers?
3. How can you solve more complex fractional equations?
4. What is the significance of squaring a number?
5. How would this change if the powers were different?

**Tip**: Always simplify expressions inside parentheses before applying exponents!

Simplify the expression: (1/2 - 3/2)^2 + (4 + 1)^2

Learn how to simplify the expression (1/2 - 3/2)^2 + (4 + 1)^2 with a detailed step-by-step solution. This problem involves arithmetic with fractions, exponents, and basic rules of algebra. Suitable for students in Grades 6-8.

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