Math Problem Statement
Solve
Factor the expression 49 - 81x^2.
Solution
The expression shown in the image is:
This is a difference of squares. The general form of the difference of squares is:
Let's identify and in the expression:
- is , so .
- is , so .
Applying the difference of squares formula:
Therefore, the factored form of is:
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you identify if an expression is a difference of squares?
- Can the difference of squares be applied if one of the terms is not a perfect square?
- What is the factored form of ?
- How would you factor ?
- How can you verify if your factored expression is correct?
Tip: Always check if each term in the expression is a perfect square before applying the difference of squares rule.
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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 9-12