The expression \( x^2 - 100 \) can be factored using the difference of squares formula. The difference of squares formula states that:

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

In this case, \( x^2 \) is \( a^2 \) and 100 is \( b^2 \), where \( b = 10 \). So, the expression can be factored as:

\[
x^2 - 100 = (x - 10)(x + 10)
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you factor \( x^2 - 144 \)?
2. What are the roots of the equation \( x^2 - 100 = 0 \)?
3. How can the difference of squares be used to simplify \( x^4 - 16 \)?
4. What happens if you try to factor \( x^2 + 100 \)?
5. How would you expand \( (x - 10)(x + 10) \) to verify the factorization?

**Tip:** Always look for patterns like the difference of squares when factoring quadratic expressions.

Learn how to factor the expression x^2 - 100 using the difference of squares formula. This problem covers key algebraic concepts, including quadratic equations and the difference of squares. Suitable for students in Grades 7-9.

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