Factor the difference of two squares.

16 x squared minus 916x2−9

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Part 1

16 x squared minus 916x2−9equals=enter your response here

To factor the difference of two squares, we can use the formula:

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

In your case, the expression is:

\[
16x^2 - 9
\]

First, recognize that \(16x^2\) and \(9\) are both perfect squares:

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

So, we can rewrite the expression as:

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

Now, apply the difference of squares formula:

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

So, the factored form of \( 16x^2 - 9 \) is \( (4x - 3)(4x + 3) \).

Would you like to explore more or ask questions?

Here are some related questions you might consider:

1. How would you factor \( 25x^2 - 1 \)?
2. Can you factor \( 49y^2 - 36 \)?
3. What is the factored form of \( 64x^2 - 81 \)?
4. How do you factor \( 4x^2 - 9y^2 \)?
5. How can you factor \( 121a^2 - 144b^2 \)?

**Tip:** Always check if the terms in the expression can be written as perfect squares when looking to factor a difference of squares.

Learn how to factor the difference of two squares with the example problem 16x^2 - 9. This problem involves recognizing perfect squares, applying the difference of squares formula, and factoring the expression. Suitable for students in Grades 9-12.

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