Math Problem Statement
x² - 100
Solution
The expression can be factored using the difference of squares formula. The difference of squares formula states that:
In this case, is and 100 is , where . So, the expression can be factored as:
Would you like more details or have any questions?
Here are 5 related questions:
- How would you factor ?
- What are the roots of the equation ?
- How can the difference of squares be used to simplify ?
- What happens if you try to factor ?
- How would you expand to verify the factorization?
Tip: Always look for patterns like the difference of squares when factoring quadratic expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Difference of Squares
Formulas
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)
Theorems
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Suitable Grade Level
Grades 7-9