Bonjour ! ;)

Réponse :

Exercice n°2 :

• Rappel : " a² - b² " peut se factoriser sous la forme " (a - b) (a + b) " !

2) I = x² - 16

I = x² - 4²

I = (x - 4) (x + 4)

J = 64x² - 9

J = (8x)² - 3²

J = (8x - 3) (8x + 3)

K = 100 - (x - 2)²

K = 10² - (x - 2)²

K = [ 10 - (x - 2) ] [ 10 + (x - 2) ]

K = [ 10 - x + 2 ] [ 10 + x - 2 ]

K = (12 - x) (8 + x)

Verified answer

Bonjour,

I = x² - 16

I = x² - 4²

I = (x - 4) × (x + 4)

J = 64x² - 9

J = 8x² - 3²

J = (8x - 3) × (8x + 3)

K = 100 - (x - 2)²

K = (10 - (x - 2)) × (10 + (x - 2))

K = (10 - x + 2) × (10 + x - 2)

K = (12 - x) × (8 + x)