Math Problem Statement
Factor 4x^2 - 9
Solution
The expression in the image is:
This is a difference of squares, which can be factored using the identity:
Here, and . Therefore, we can rewrite it as:
Applying the difference of squares formula:
Thus, the factored form of the expression is:
Let me know if you'd like further details or explanations.
Here are some related questions:
- What is the general method for factoring a quadratic expression?
- Can all quadratic expressions be factored using the difference of squares method?
- How do you factor other types of binomials, like perfect square trinomials?
- What is the process for factoring quadratics that cannot be factored easily?
- How does factoring help in solving quadratic equations?
Tip: Always check if the expression fits a common factoring pattern, such as the difference of squares or perfect square trinomials, to make factoring easier.
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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 7-10