Math Problem Statement
8e f⁶ - 125g³
Solution
The expression you've provided is . This is a difference of two terms, and we can factor it using the difference of cubes formula. The difference of cubes formula is:
To factor , let's first recognize the cube forms:
Now, apply the difference of cubes formula:
Simplifying the expression inside the second parentheses:
Thus, the factored form is:
Would you like more details on this factorization process, or do you have any questions?
Here are 5 related questions:
- How do you factor the sum of cubes?
- What are some examples of polynomials that can be factored using the difference of squares?
- Can all polynomials be factored using standard methods?
- What is the relationship between factoring and solving polynomial equations?
- How can factoring be used to simplify complex algebraic expressions?
Tip: When factoring polynomials, it's helpful to recognize patterns such as difference of squares or cubes, which can greatly simplify the process.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Factoring
Difference of Cubes
Formulas
Difference of cubes formula
Theorems
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Suitable Grade Level
Grades 10-12