Activité 8 - Exercices de synthèse

c)
Réduis les expressions qui peuvent l'être.

6a + 2a
= 8a
3a . 4

= 3 . a . 4

= 3 . 4 . a

= 12a

2a + 5b
= 2a + 5b
6a . 3a

= 6 . a . 3 . a

= 6 . 3 . a . a

= 18a2

3 . a4
= 3a4
(2a + 5) . b

= 2a . b + 5 . b

= 2ab + 5b

6a . 3

= 6 . a . 3

= 6 . 3 . a

= 18a

(3a)4

= (3)4 . (a)4

= 81a4

2 . (a + 5)

= 2 . a + 2 . 5

= 2a + 10

(6a)3

= (6)3 . (a)3

= 216a3

3a + 4
= 3a + 4
2a . 5b

= 2 . a . 5 . b

= 2 . 5 . a . b

= 10ab

6 . a3
= 6a3
3 . (a + 4)

= 3 . a + 3 . 4

= 3a + 12

(2ab)5

= 25 . a5 . b5

= 32a5b5

 

3a – 4b
= 3a – 4b
3x2 – x
= 3x2 – x
5a2 + 2a5
= 5a2 + 2a5

3a . (– 4b)

 

= – 12 ab

 

3 . (x4 – x)

 

= 3 . x4 – 3 . x

= 3 x4 – 3 x

5a2 . 2a5

 

= 10 a7

 

(3a – 4) . b

 

= 3a . b 4 . b

= 3ab 4b

(3x)2

 

= (3)2 . (x)2

= 9x2

5 . (a2 + 2a5)

 

= 5 . a2 – 5 . 2a5

= 5a2 – 10a5

3 . (a – 4)

 

= 3 . a 3 . 4

= 3a 12

3 . x2
= 3x2
5a2 . (2 – a5)

= 5a2. 2 – 5a2 . a5

= 10a2 – 5a7

(3a)2

 

= (3)2 . (a)2

= 9a2

3 x2 . (– x)

 

= – 3x3

 

(5a2 + 2) . (– a5)

= (5a2) . (–a5) + 2 . (–a5)

= – 5a7 – 2a5