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

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

In this case, you can rewrite \( 2 - x^2 \) as:

\[
2 - x^2 = \sqrt{2}^2 - x^2
\]

Now, applying the difference of squares formula:

\[
2 - x^2 = (\sqrt{2} - x)(\sqrt{2} + x)
\]

So, the factorization of \( 2 - x^2 \) is:

\[
(\sqrt{2} - x)(\sqrt{2} + x)
\]

Would you like more details, or do you have any other questions?

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Here are some related questions you might find useful:

1. How do you recognize when to use the difference of squares formula?
2. Can the expression \( 2 - x^2 \) be factored further?
3. How do you factor expressions like \( 2x^2 - 8 \)?
4. What are the roots of the equation \( 2 - x^2 = 0 \)?
5. How can you solve quadratic equations by factoring?
6. What is the geometric interpretation of the difference of squares?
7. How do you factor more complex quadratic expressions?
8. Can difference of squares be applied to higher-degree polynomials?

**Tip:** When dealing with a quadratic expression, always check if it can be rewritten as a difference of squares—it’s a common and useful factoring technique.

Learn how to factor the expression 2 - x^2 using the difference of squares formula. This problem covers key algebraic concepts, including the difference of squares formula. Suitable for students in Grades 10-12.

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