Page 2: Double Distributivity and Advanced Applications
The second page delves into more advanced concepts, particularly double distributivity and its applications.
Example: C = (3x + 2)(5x + 6) = 15x² + 18x + 10x + 12 = 15x² + 28x + 12
This example illustrates the process of double distributivité (double distributivity), showing how to multiply two binomials.
Highlight: When applying double distributivity, multiply each term of the first parenthesis by each term of the second parenthesis.
The page also covers special cases, such as when the development is preceded by a minus sign:
Example: D = -(3x + 2)(5x - 6) = -15x² + 18x - 10x + 12 = -15x² + 8x + 12
This demonstrates how to handle negative signs in front of parentheses during distribution, which is crucial for supprimer les parenthèses puis réduire les expressions suivantes (removing parentheses and then reducing the following expressions).
The page concludes with important definitions:
Definition:
• Développer (Develop): Express an expression as a sum (or difference) of several terms.
• Réduire (Reduce): Write an expression using the least number of terms possible.
• Ordonner (Order): Write an expression in decreasing order of the variable's power.
These definitions are essential for mastering algebraic manipulations and are particularly useful for exercises like réduire une expression littérale 4ème (reducing a literal expression in 4th grade) and double distributivité 3ème (double distributivity in 3rd grade).
