To factor the expression \( 25 - 81x^2 \), we recognize that it is a difference of squares. The difference of squares formula is:

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

In this case:
- \( a^2 = 25 \), so \( a = 5 \)
- \( b^2 = 81x^2 \), so \( b = 9x \)

Using the formula, we factor the expression as:

\[
25 - 81x^2 = (5 - 9x)(5 + 9x)
\]

This is the fully factored form of the expression.

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. How would you factor \( 16x^2 - 49 \)?
2. Can you factor \( 36 - 25x^2 \)?
3. What is the factored form of \( 100x^2 - 64y^2 \)?
4. Factor the expression \( 9x^4 - 25 \).
5. How would you solve \( 81x^2 - 25 = 0 \)?

**Tip:** Always check if an expression can be factored using special patterns like the difference of squares or perfect square trinomials.

Learn how to factor the expression 25 - 81x^2 using the difference of squares formula. This step-by-step guide breaks down key algebraic concepts and formulas suitable for Grades 9-10 students.

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