SUMMARY
The expression (x-5)+(x^2(x-5)) simplifies to (x^2+1)(x-5) using the distributive law. By factoring out the common term (x-5), the expression can be rewritten as (x-5)(1+x^2). This demonstrates the application of basic algebraic principles to simplify polynomial expressions effectively. The key takeaway is recognizing common factors in polynomial terms.
PREREQUISITES
- Understanding of polynomial expressions
- Familiarity with the distributive law in algebra
- Basic skills in factoring algebraic expressions
- Knowledge of simplifying algebraic equations
NEXT STEPS
- Study the distributive property in algebra
- Learn advanced factoring techniques for polynomials
- Explore polynomial identities and their applications
- Practice simplifying complex algebraic expressions
USEFUL FOR
Students learning algebra, educators teaching polynomial simplification, and anyone looking to strengthen their mathematical problem-solving skills.