Math Problem Statement
Solution
The expression is a difference of squares. The difference of squares can be factored using the formula:
In this case, is and is . So we can identify and because .
Applying the difference of squares formula, we get:
Thus, the factors of the expression are:
Do you want details or have any questions? Here are five more questions you might ask:
- How do you factor expressions using the difference of squares formula?
- What are other common factoring formulas for polynomials?
- How do you factor trinomials of the form ?
- What is the process for factoring by grouping?
- How can you verify that your factored form of a polynomial is correct?
Tip: When factoring polynomials, always check if the expression can be written as a difference of squares, a perfect square trinomial, or if common factors can be factored out first.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Factoring
Formulas
Difference of squares formula
Theorems
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Suitable Grade Level
Grades 9-12