The given expression is a quadratic expression: 

\[
16x^2 + 24x + 9
\]

Let's factor this quadratic expression.

1. The first term \(16x^2\) is a perfect square, which can be written as \((4x)^2\).
2. The last term \(9\) is also a perfect square, which can be written as \(3^2\).
3. The middle term \(24x\) can be written as \(2 \times 4x \times 3\), which fits the form of a perfect square trinomial.

Thus, the expression is a perfect square trinomial, and can be factored as:

\[
(4x + 3)^2
\]

So, the factored form is:

\[
16x^2 + 24x + 9 = (4x + 3)^2
\]

Would you like further explanation or details?

Here are five questions to expand on this topic:
1. How do you determine if a quadratic expression is a perfect square trinomial?
2. What are the steps to factor a general quadratic equation if it's not a perfect square trinomial?
3. How would you solve the equation \(16x^2 + 24x + 9 = 0\)?
4. Can the factored form \( (4x + 3)^2 \) be used to find the roots of the equation?
5. What is the general formula for factoring a quadratic expression?

**Tip:** When factoring quadratics, always check if it's a perfect square trinomial before trying other methods.

Learn how to factor the quadratic expression 16x^2 + 24x + 9 by identifying it as a perfect square trinomial. This guide explains the step-by-step factoring process, including the use of perfect square trinomial formula, and is suitable for students in Grades 8-10.

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