Factor the difference of two squares.
100 minus x squared100−x2
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Part 1
100 minus x squared100−x2equals=enter your response here

The expression \( 100 - x^2 \) is a difference of two squares. The formula for factoring the difference of two squares is:

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

In your case, the expression can be rewritten as:

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

Using the difference of squares formula, we factor it as:

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

So, the factored form of \( 100 - x^2 \) is \( (10 - x)(10 + x) \).

Would you like to dive into any details or have further questions?

Here are some related questions you might find interesting:

1. How do you factor the expression \( x^2 - 25 \)?
2. What is the factored form of \( 9x^2 - 16 \)?
3. Can you factor \( 4a^2 - 49b^2 \)?
4. How do you recognize a difference of squares in a polynomial?
5. How would you factor \( x^4 - 16 \)?

**Tip:** When factoring the difference of squares, always look for terms that can be written as the square of something else.

Learn how to factor the difference of squares expression 100 - x^2 using the formula (a^2 - b^2) = (a - b)(a + b). Detailed step-by-step solution provided. Suitable for high school students.

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