It looks like you want to simplify the expression \((a + 5)^2\). This expression represents the square of a binomial. To simplify it, we use the formula for the square of a binomial:

\[
(x + y)^2 = x^2 + 2xy + y^2
\]

In this case:
- \(x = a\)
- \(y = 5\)

Now, apply the formula:

\[
(a + 5)^2 = a^2 + 2(a)(5) + 5^2
\]

Simplifying further:

\[
(a + 5)^2 = a^2 + 10a + 25
\]

So, the simplified expression is:

\[
a^2 + 10a + 25
\]

Would you like more details or have any questions?

Here are 5 related questions you might consider:
1. How do you expand other types of binomials, such as \((a - 5)^2\)?
2. How does the expansion change if the binomial contains fractions, e.g., \((a + \frac{1}{2})^2\)?
3. Can you apply the binomial expansion to \((a + 5)(a - 5)\)? 
4. What happens when you square a trinomial, like \((a + 5 + b)^2\)?
5. What is the significance of the middle term in binomial expansions?

**Tip:** Always remember the formula \((x + y)^2 = x^2 + 2xy + y^2\) when squaring binomials—it saves time!

Learn how to simplify the expression (a+5)^2 step-by-step using the binomial expansion formula. This algebra problem is ideal for students in Grades 7-9 and covers key concepts such as binomial expansion and polynomial simplification.

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