Math Problem Statement
factor 2 - x^2
Solution
The expression can be factored using the difference of squares formula. The difference of squares states that:
In this case, you can rewrite as:
Now, applying the difference of squares formula:
So, the factorization of is:
Would you like more details, or do you have any other questions?
Here are some related questions you might find useful:
- How do you recognize when to use the difference of squares formula?
- Can the expression be factored further?
- How do you factor expressions like ?
- What are the roots of the equation ?
- How can you solve quadratic equations by factoring?
- What is the geometric interpretation of the difference of squares?
- How do you factor more complex quadratic expressions?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Difference of Squares
Formulas
Difference of squares formula
Theorems
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Suitable Grade Level
Grades 10-12