Activité 8 - Exercices de synthèse

d)
Applique les propriétés des puissances et calcule.

(8a)2

= 82 . a2

= 64a2

(– 3 – a2) . 2a

= – 3 . 2a – a2. 2a

= – 6a – 2a3

(– 6b)2

= (– 6)2 . b2

= 36b2

(a2b)4

= (a2)4. (b)4

= a8 . b4

(– 3x)3

= (– 3)3 . x3

= – 27x3

(xy2)3

= (x)3 . (y2)3

= x3 . y6

(– 3a2)3

= (– 3)3 . (a2)3

= – 27a6

(– a2b)3

= (– a2)3 . (b)3

= – a6b3

(8 + a) . 2

= 8 . 2 + a . 2

= 16 + 2a

a2 . (a3 + 3)

= a2 . a3 + a2 . 3

= a5 + 3a2

(– 4 + b) . 3

= – 4 . 3 + b . 3

= – 12 + 3b

(x2 + 3) . (x2 – 3)

= x2 . x2+ x2 . (– 3) + 3 . x2 + 3 . (– 3)

= x4 + (– 3x2) + 3x2 + (– 9)

= x4 – 9

2 . (– 3 – x)

= 2 . (– 3) – 2 . x

= – 6 – 2x

(5a – 3) . (2b – 2)

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

= 10ab – 10a – 6b + 6