Page 2: Double Distributivity and Advanced Applications
The second page delves into more advanced concepts, particularly double distributivity and its applications.
Example: C = 3x+25x+6 = 15x² + 18x + 10x + 12 = 15x² + 28x + 12
This example illustrates the process of double distributivité doubledistributivity, 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+25x−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 removingparenthesesandthenreducingthefollowingexpressions.
The page concludes with important definitions:
Definition:
• Développer Develop: Express an expression as a sum ordifference 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 reducingaliteralexpressionin4thgrade and double distributivité 3ème doubledistributivityin3rdgrade.
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