Advanced Factorization Techniques
This page delves deeper into factorization techniques, building upon the distributivity concepts introduced earlier. It provides more complex examples and exercises to challenge students' understanding.
Vocabulary: Factorization is the process of breaking down an algebraic expression into a product of simpler expressions.
The page starts by presenting factorization rules:
- ka + kb = ka+b
- ka - kb = ka−b
Example: 2x - 14 can be factored as 2x−7
Several more examples are provided to illustrate different factorization scenarios:
- 3y - 5y = y3−5 = -2y
- 75ab - 25a + 15ac = 5a15b−5+3c
- 3x + 6xy = 3x1+2y
The page then moves on to more complex exercises, demonstrating how to factor and simplify intricate expressions:
Example: A = x−32x+5 - x−3x−7
Solution: A = x−3(2x+5)−(x−7) = x−33x−2
Another complex example is provided:
B = 2x+3x+8 - 3x−22x+3
The solution process is shown step-by-step, culminating in the final factored form:
B = 22x+3x+5
Highlight: These complex exercises are excellent practice for développement et factorisation exercices corrigés PDF 4ème and factorisation 3ème exercice corrigé, helping students master advanced algebraic manipulation techniques.