bonjour pourriez vous m'aider svp ​

Bonjour,

(x + 5)² - 16

= (x + 5 + 4) (x + 5 - 4)

= (x + 9) (x + 1)

(6x - 5)² - 81

= (6x - 5 + 9) (6x - 5 - 9)

= (6x + 4) (6x - 14)

= 4 (3x + 2) (3x - 7)

(4x + 7)² - (x - 4)²

= (4x + 7 + x - 4) (4x + 7 - x + 4)

= (5x + 3) (3x + 11)

(x + 7)² - 4x²

= (x + 7 - 2x) (x + 7 + 2x)

= (- x + 7) (3x + 7)

Réponse :

Explications étape par étape

Bonjour

(x + 5)² - 16

= (x + 5) ² - 4 ²

= (x + 5 - 4) (x + 5 + 4)

= (x + 1) (x + 9)

(6x - 5)² - 81

= (6x - 5) ² - 9 ²

= (6x - 5 - 9) (6x - 5 + 9)

= (6x - 14) (6x + 4)

= 2(3x - 7) * 2(3x + 2)

= 4(3x - 7)(3x + 2)

(4x + 7)² - (x - 4)²

= (4x + 7 - x + 4) (4x + 7 + x - 4)

= (3x + 11)(5x + 3)

(x + 7)² - 4x²

= (x + 7) ² - (2x) ²

= (x + 7 - 2x)(x + 7 + 2x)

= (-x + 7)(3x + 7)