Math Problem Statement
factor x^2 - 9
Solution
The expression is a difference of squares. A difference of squares is a special form that can be factored using the identity:
In this case, can be rewritten as:
Here, and . Applying the difference of squares formula, we get:
So, the factored form of is:
Would you like further details or have any questions about this process?
Related Questions
- How do you factor expressions that are not perfect squares?
- What are some other examples of the difference of squares?
- How do you factor ?
- Can the difference of cubes be factored similarly to the difference of squares?
- How does factoring help in solving equations?
Tip: Recognizing patterns like the difference of squares can make factoring much quicker and easier. Look for perfect squares and a subtraction sign to apply this technique effectively.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Difference of Squares
Formulas
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)
Theorems
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Suitable Grade Level
Grades 7-9