Math Problem Statement
Factor completely. 16x^2 - 121
Solution
The given expression is:
This is a difference of squares, which can be factored using the formula:
Here, is the square of , and is the square of . Therefore, we can rewrite the expression as:
Thus, the factored form of is:
Would you like further clarification or details on any step? Here are some related questions you might find useful:
- How do you recognize a difference of squares?
- What are some other examples of factoring differences of squares?
- Can the difference of squares technique be used for higher powers?
- What happens when the terms in a difference of squares have coefficients that aren't perfect squares?
- How does factoring help in solving quadratic equations?
Tip: Whenever you're factoring an expression, always check for a greatest common factor (GCF) first before applying special factoring formulas like the difference of squares.
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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