The expression \(9x^2 - 16\) is a difference of squares, which can be factored using the formula:

\[
a^2 - b^2 = (a - b)(a + b)
\]

In this case:

\[
9x^2 = (3x)^2 \quad \text{and} \quad 16 = 4^2
\]

So, the factorization is:

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

Would you like more details on this method or have any questions?

Here are some related questions you might explore:

1. How do you factor perfect square trinomials?
2. Can the difference of squares be applied to higher degree polynomials?
3. What is the geometric interpretation of factoring the difference of squares?
4. How do you recognize a quadratic expression that can be factored?
5. What is the relationship between factoring and solving quadratic equations?

**Tip:** Always check if the expression is a difference of squares when you see a quadratic subtraction with perfect squares!

Discover how to factor the quadratic expression 9x^2 - 16 using the difference of squares method. This step-by-step guide explains key algebraic concepts and is ideal for students in Grades 8-10.

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