Page 89 - Mathématiques RAC1 volume 1 2020

P a g e | 88

EXERCICES D’ENTRAÎNEMENT

Exercice 7.1 Factorise avec la technique de la mise en évidence (coefficient et/ou
monôme)

1. 2x y – 4xy + 8xy =
2
3
2. 5b – 7b + 10b =
3
2
3. a b + 3a b =
2 2
3 3
4. 10x – 16x y + 24x y =
4
3
2
5. 20a c – 32a c =
4
4 3
6. 3x + 2x – 6x =
6
7
5
7. – ab + ac =
5
3
8. 10axy + 5axy + 20ax =

9. 2x – 16y =
2
3
7
2
10. 3a + 4a – 6a =
3
11. 12c d – 24c d + 144 c d =
2 3
4 4
4 5
12. – 7y + 35x – 28a =
3
3
3
Exercice 7.2 Factorise avec la technique de la mise en évidence d’un polynôme

1. (3a – 1) (3a + 1) – 8a (3a + 1) =

2. (4x + 3) (5x – 3) – (4x + 3) =

3. (x – 1) · 5 + (x – 3) (x – 1) – 8 (x – 1) =

4. 5a (3 – x) – 4a (3 – x) + 3 (3 – x) =
2
5. (8y + 3) (y – 2) – (y + 3) (8y + 3) =

6. (a + b) (b – a) + (b + a) (2b – a) =

7. (x + y) (3 + z) – 4 (x + y ) =

8. (a + 2b) + (a + 2b) (2a – 3b) =

ES Nyon-Marens BAMV ed 2020 maths Rac2