Math Problem Statement
Y^2-1
Solution
The expression you've provided is . This can be factored using the difference of squares formula, which states:
In your case:
So, the factored form of is:
Would you like further details or have any questions?
Here are some related questions:
- How can the difference of squares be applied to more complex expressions?
- What are other methods of factoring quadratic expressions?
- How does the difference of squares formula relate to solving quadratic equations?
- Can the difference of squares be used in real-world applications? If so, how?
- What are the next steps if we set and solve for ?
Tip: Recognizing patterns like the difference of squares can simplify solving and factoring many types of algebraic expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Factoring
Difference of Squares
Formulas
a^2 - b^2 = (a - b)(a + b)
Theorems
Difference of Squares Theorem
Suitable Grade Level
Grades 8-10