Réponse :
Explications étape par étape
Bonjour
Factoriser:
(a²+ab+b²)-(a²-ab+b²)
= (a + b)² - (a - b)²
= (a + b - a + b)(a + b + a - b)
= 2b * 2a
= 4ab
factoriser:(a+b)^3-(a-b)^3
= (a + b)²(a + b) - (a - b)²(a - b)
= (a + b - a + b)[(a + b)² + (a + b)(a - b) + (a - b)²]
= 2b(a² + 2ab + b² + a² - b² + a² - 2ab + b²)
= 2b(3a² + b²)
