e) |
Applique la distributivité et réduis éventuellement les termes semblables. |
a3
. (a2
+ 3) |
= a3 . a2 + a3 . 3 = a5 + 3a3 |
x2
. (x5
+ x3) |
= x2 . x5 + x2 . x3 = x7 + x5 |
3x
. (x2
+ x3) |
= 3x . x2 + 3x . x3 = 3x3 + 3x4 |
(2x
+ x2)
.
(x2
+ 1)
|
= 2x . x2 + 2x . 1 + x2 . x2 + x2 . 1 = 2x3 + 2x + x4 + x2 |
(x2
+ 2) .
(3x –
x3)
|
= x2 . 3x + x2 . (– x3) + 2 . 3x + 2 . ( – x3) = 3x3 – x5 + 6x – 2x3 = –x3 – x5 + 6x |
3x
. (x
–
2x2)
|
= 3x . x – 3x . 2x2 = 3x2– 6x3 |
(x
–
3) .
x2
|
= x . x2 – 3 . x2 = x3 – 3x2 |
–
4a .
(2a4
– 6a2)
|
= – 4a . 2a4 – (– 4a) . 6a2 = – 8a5 +24a3 |
(x3
– 3) .
(x2
–
2)
|
= x3 . x2 + x3 . (– 2) + (– 3) . (x2) + (– 3) . (– 2) = x5 – 2x3 – 3x2 + 6 |
(x2
– 2) .
(x2
+ 1)
|
= x2. x2 + x2. 1 + (– 2) . x2 + (– 2) . 1 = x4 + x2 – 2x2 – 2 = x4 – x2 – 2 |