Correction de l’exercice 1
- A = 2 (4b – 1) = 8b – 2
- B = (2b – 6) ×
-c 6
=-bc 3
+ c - C = 4 (5b +
8 3
)= 20b +32 3
- D = (3a + 1) × 6c = 18ac + 6c
Correction de l’exercice 2
- E = 20b + 16 = 4 ( 5b + 4 )
- F = 64c2 – 8c = 8c ( 8c – 1 )
- G = 16c2 + 4ac = 4c ( 4c + a )
- H = 20ab3 – 8b5 = 4b3 ( 5a – 2b2 )
Correction de l’exercice 3
- I = ( 5 + a )( 6a + 7 ) = 30a + 35 + 6a2 + 7a = 6a2 + 37a + 35
- J = ( 1 + 6b )( 4c – 3 ) = 4c – 3 + 24bc – 18b = 24bc – 18b + 4c – 3
- K = ( -7 +
5a 8
)( 8b +3 7
) = -56b – 3 + 5ab +15a 56
= 5ab +15a 56
– 56b – 3 - L = ( 4 + -2a )( 3c2 +
1 7
) = 12c2 +4 7
– 6ac2 +-2a 7
= – 6ac2 –2a 7
+ 12c2 +4 7
Correction de l’exercice 4
- M = (c+6)2 = c2 + 12c + 36
- N = (3a-2b2)2 = 9a2 – 12ab2 + 4b4
- O= (
7c 6
-2)(7c 6
+2) =49c2 36
– 4 - P = (
3a 7
–5c2 3
)(3a 7
+5c2 3
) =9a2 49
–25c4 9
Correction de l’exercice 5
- Q = -30b + 25 + 9b2 = ( 3b – 5 )2
- R = 16 – 16c2 = ( 4 + 4c )(4 – 4c )
- S = 4a2 + 20a + 25 = ( 2a + 5 )2
- T = 36c2 – 1 = ( 6c + 1 )( 6c – 1 )