The expression \( 16x^2 - 1 \) can be factored as a difference of squares. The difference of squares formula is:

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

Here, we can identify \( 16x^2 \) as \( (4x)^2 \) and \( 1 \) as \( 1^2 \). Applying the formula:

\[
16x^2 - 1 = (4x)^2 - 1^2 = (4x - 1)(4x + 1)
\]

So, the factored form of \( 16x^2 - 1 \) is:

\[
(4x - 1)(4x + 1)
\]

Would you like more details or have any questions? Here are some related questions you might find helpful:

1. How do you factor a trinomial?
2. What is the difference of cubes formula?
3. How can you check if a quadratic expression is factorable?
4. What is the significance of the discriminant in factoring?
5. How do you solve quadratic equations by factoring?

**Tip:** Always look for common factors before applying special factoring formulas like the difference of squares.

Discover how to factor 16x^2 - 1 using the difference of squares formula. This problem involves key algebraic concepts, including factoring and quadratic equations. Suitable for students in Grades 9-12.

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