Math Problem Statement
׳-1/125
Solution
The expression can be factored using the difference of cubes formula. The difference of cubes formula is:
In this case, we can rewrite as . Thus, the expression becomes:
Using the difference of cubes formula:
Simplifying further:
This is the factorized form of the expression .
Would you like more details or have any questions?
Here are 8 related questions you might find interesting:
- How do you factor expressions using the sum of cubes formula?
- What are some other examples of the difference of cubes?
- How can you use the difference of squares to factor expressions?
- What is the process for simplifying expressions with cube roots?
- How do you solve equations involving cube roots?
- Can the difference of cubes formula be used in solving cubic equations?
- How does the difference of cubes formula apply to polynomial division?
- What is the general method to factor a cubic polynomial?
Tip: Remember, the difference of cubes formula is a powerful tool for simplifying and solving cubic expressions. It's worth mastering!
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Cube Roots
Formulas
Difference of cubes formula
Theorems
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Suitable Grade Level
Grades 10-12