Simple Distributivity and Development
This section introduces the concept of simple distributivity and how to develop algebraic expressions.
Definition: Simple distributivity is the process of multiplying a term by each term inside parentheses.
Example: To développer et factoriser 3ème level expressions like 5x(x-3), multiply 5x by x and -3 separately: 5x² - 15x.
The page also covers double distributivity, which involves distributing two terms to two other terms.
Example: For A = (2x-1)(x-4), distribute each term of the first parenthesis to each term of the second: 2x² - 8x - x + 4.
Highlight: Understanding distributivity is crucial for calcul littéral exercices and forms the foundation for more complex algebraic operations.
Notable Identities and Factorization
This section delves into notable identities and factorization techniques, essential for factoriser une expression exercice corrigé.
Vocabulary: Notable identities are standard algebraic formulas that help simplify expressions.
The guide presents three key notable identities:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- a² - b² = (a + b)(a - b)
Example: To develop (2x + 3)², use the first identity: 4x² + 12x + 9.
Factorization techniques are also covered, including:
- Factoring with a common factor
- Factoring without a common factor using notable identities
Highlight: Mastering these techniques is crucial for factoriser identité remarquable 3ème exercice and higher-level mathematics.