Sagot :
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)