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The expression to simplify is \((y + 4)^2\).

Let's expand the binomial using the formula for squaring a binomial:
\[
(a + b)^2 = a^2 + 2ab + b^2
\]

Here, \(a = y\) and \(b = 4\).

Applying this to the given expression:

\[
(y + 4)^2 = y^2 + 2(y)(4) + 4^2
\]
\[
= y^2 + 8y + 16
\]

So, the simplified expression is:
\[
y^2 + 8y + 16
\]

In the question format provided, the missing terms are \(8\) for the coefficient of \(y\), and \(16\) for the constant.

Would you like further details or have any questions about this?

### Related questions:
1. How do you expand other binomials, like \((y - 3)^2\)?
2. Can you apply this expansion technique to trinomials like \((y + 2 + x)^2\)?
3. How do you factor a perfect square trinomial?
4. Can the same method be used to expand \((y + 4)^3\)?
5. What is the geometric interpretation of squaring binomials?

### Tip:
When squaring binomials, always remember to apply the distributive property carefully to avoid missing terms!

This page provides a detailed explanation of how to simplify the expression (y + 4)^2 by applying the binomial expansion formula. Key concepts include quadratic expressions and the binomial theorem, suitable for Grade 9 students.

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