Let's simplify the expression you provided, which is:

\[
\frac{b^2}{b^2} + \frac{(s + a)^2}{b}
\]

### Step-by-step solution:

1. **Simplify the first term**: 
   \[
   \frac{b^2}{b^2} = 1
   \]

2. **Rewrite the entire expression** after simplifying:
   \[
   1 + \frac{(s + a)^2}{b}
   \]

Thus, the simplified expression is:

\[
1 + \frac{(s + a)^2}{b}
\]

### Final Answer:
\[
1 + \frac{(s + a)^2}{b}
\]

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Would you like more details on any part of this simplification? Here are some related questions to think about:

1. How do you handle more complex expressions involving multiple terms?
2. What if the denominator \(b\) were a more complicated function?
3. How does this expression change if \(s + a = 0\)?
4. Can you rewrite this expression in a different form using factoring?
5. What happens if \(b = 1\) in this expression?

**Tip**: Always simplify fractions where possible to make complex expressions easier to work with!

Discover how to simplify the algebraic expression b² / b² + (s + a)² / b step by step. This guide covers fundamental concepts like fraction simplification and exponents, suitable for students in Grades 8-10.

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