Math Problem Statement
225p²q² - 1
Solution
The expression can be factored using the difference of squares formula. The difference of squares formula states that .
First, we recognize that is a perfect square, since:
Next, we write the expression as a difference of squares:
Using the difference of squares formula, we factor this expression:
So, the factored form of is:
Would you like further details or have any questions?
Here are 8 related questions to further explore this topic:
- How do you factor other expressions using the difference of squares formula?
- What is the general form of the difference of squares?
- Can you explain the process of identifying perfect squares in an expression?
- How do you recognize when to use the difference of squares in factoring?
- What are other examples of factoring differences of squares?
- How can the difference of squares be applied in solving quadratic equations?
- Are there other special factoring formulas similar to the difference of squares?
- How does factoring help in simplifying algebraic expressions?
Tip: Always look for common factors first before applying special factoring formulas.
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Math Problem Analysis
Mathematical Concepts
Difference of Squares
Factoring
Formulas
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)
Theorems
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Suitable Grade Level
Grades 10-12