Exercices complémentaires |
Série A2)
Applique
la distributivité et réduis les éventuels termes
semblables.
|
5
. (2a + 3) |
= 5 . 2a + 5 . 3 |
| = 10a + 15 | |
2a
.
(3b + 5c) |
= 2a . 3b + 2a . 5c |
| = 6ab + 10ac | |
3x
.
(x + 5) |
= 3x . x + 3x . 5 |
| = 3x2 + 15x | |
(a
+ 3b) .
6a |
= a . 6a + 3b . 6a |
| = 6a2 + 18ab | |
(x
+ 2) .
2 |
= x . 2 + 2 . 2 |
| = 2x + 4 | |
(x
+ y) .
(a + b)
|
= x . a +x . b + y . a + y . b |
| = ax + bx + ay + by | |
(x
+ 3) .
(y + 2)
|
= x . y + x . 2 + 3 . y + 3 . 2 |
| = xy + 2x + 3y + 6 | |
(x
+ 4) .
(x + 3)
|
= x . x + x . 3 + 4 . x + 4 . 3 |
| = x2 + 3x + 4x + 12 | |
| = x2 + 7x + 12 | |
(2a
+ 1) .
(3a + 2)
|
= 2a . 3a + 2a . 2 + 1 . 3a + 1 . 2 |
| = 6a2 + 4a + 3a + 2 | |
| = 6a2 + 7a + 2 | |
(2x
+ 4) .
(x + 1)
|
= 2x . x + 2x . 1 + 4 . x + 4 . 1 |
| = 2x2 + 2x + 4x + 4 | |
| = 2x2 + 6x + 4 | |
2a
. (a + b)
|
= 2a . a + 2a . b |
| = 2a2 + 2ab | |
(3a
+ 2c) . a |
= 3a . a + 2c . a |
| = 3a2 + 2ac | |
(3a
+ 1) .
(2a + 1)
|
= 3a . 2a +3a . 1 + 1 . 2a + 1 . 1 |
| = 6a2 + 3a + 2a + 1 | |
| = 6a2 + 5a + 1 | |
(x
+ 2y) .
(3x + y)
|
= x . 3x +x . y + 2y . 3x + 2y . y |
| = 3x2 + xy + 6xy + 2y2 | |
| = 3x2 + 7xy + 2y2 | |
(1
+ 4x)
. 2x
|
= 1 . 2x + 4x . 2x |
| = 2x + 8x2 |