Chapitre 5Calcul littéral |
|
a)
|
Ecris plus simplement. |
a3
. a2 |
= ................. |
(a4)3 |
= ................. |
(2a3)4
|
= ................. |
a4
. a2 |
= ................. |
(a2)5 |
= ................. |
(–
3a2)2 |
= ................. |
–
4a3 .
2a5 |
= ................. |
(ab)3
|
= ................. |
(a2b3)4
|
= ................. |
x2
. 3x |
= ................. |
(2x)5
|
= ................. |
(5a2)3
|
= ................. |
3x
. 2x |
= ................. |
(–
3b)2 |
= ................. |
(–
10a3)5 |
= ................. |
|
b)
|
Applique les propriétés des puissances. |
(–
3ab)4 = |
................. |
5a3
.
(– 2a3) = |
................. |
–
4a .
5a = |
................. |
(–
2a2b)5 = |
................. |
x .
(– 2x) = |
................. |
2b3.
(– 2b) = |
................. |
–
11x .
5x = |
................. |
(–
a4b)3 = |
................. |
–
2 .
(– a5b2)4 = |
................. |
x2
.
(– 2x3) = |
................. |
(–
a3b2)2 = |
................. |
(–
2a5b2)4 = |
................. |
(–
b2) .
(– 3b3) = |
................. |
(–
5a2b3)2 = |
................. |
–
2x .
4x = |
................. |
|
c)
|
Réduis les expressions qui peuvent l'être. |
6a
+ 2a = |
................. |
3a
.
4 = |
................. |
2a
+ 5b = |
................. |
6a
.
2a = |
................. |
3
.
a4
= |
................. |
(2a
+ 5) .
b = |
................. |
6a
.
3 = |
................. |
(3a)4
= |
................. |
2
.
(a + 5) = |
................. |
(6a)3
= |
................. |
3a
+ 4 = |
................. |
2a
.
5b = |
................. |
6
.
a3 = |
................. |
3
.
(a + 4) = |
................. |
(2ab)5
= |
................. |
3a
– 4b = |
................. |
3x2
– x = |
................. |
5a2
+ 2a5 = |
................. |
3a
.
(– 4b)
= |
................. |
3
.
(x4
– x) = |
................. |
5a2
.
2a5
= |
................. |
(3a
– 4) .
b = |
................. |
(3x)2
= |
................. |
5
.
(a2
+ 2a5)= |
................. |
3
.
(a – 4) = |
................. |
3
.
x2 = |
................. |
5a2
(2 – a5)= |
................. |
(3a)2
= |
................. |
3
x2 .
(– x) = |
................. |
(5a2
+ 2) .
(– a5) = |
................. |
|
d)
|
Applique les propriétés des puissances et calcule. |
(8a)2
= |
................. |
(–
3 – a2) .
2a = |
................. |
(–
6b)2
= |
................. |
(a2b)4
= |
................. |
(–
3x)3
= |
................. |
(xy2)3
= |
................. |
(–
3a2)3
= |
................. |
(–
a2b)3
= |
................. |
(8
+ a) .
2 = |
................. |
a2
. (a3
+ 3) = |
................. |
(–
4 + b) .
3 = |
................. |
(x2
+ 3) .
(x3
– 3) = |
................. |
2
.
(– 3 – x) = |
................. |
(5a
– 3) .
(2b – 2) = |
................. |
|
e)
|
Applique la distributivité et réduis éventuellement les termes semblables. |
a3
. (a2
+ 3) = |
................. |
x2
. (x5
+ x3)
= |
................. |
| 3x
. (x2
+ x3)
= |
................. |
|
(2x
+ x2)
.
(x2
+ 1) =
|
................. |
|
(x2
+ 2) .
(3x –
x3) =
|
................. |
| 3x
. (x
–
2x2) =
|
................. |
| (x
–
3) .
x2
=
|
................. |
| –
4a .
(2a4
– 6a2)
=
|
................. |
|
(x3
– 3) .
(x2
–
2) =
|
................. |
|
(x2
– 2) .
(x2
+ 1) =
|
................. |
 |
Vos
remarques sont les bienvenues.
