Réponse :
(a + b)(a - b) = a²-b²
Explications étape par étape :
(a + b)(a - b) = a²-b² ⇒ 101² - 99² = (101+99)(101-99) = 200×2 = 400
7, 22 x 108,7 - 7, 22 x 8, 7 = 7, 22 x (108,7-8.7) = 7, 22×100 = 722= factorisation de 7.22
(5x-10) (1, 2x+3, 4) + (5x-10) (9,8x + 7,6) = (5x-10) (1, 2x+3, 4 + 9,8x + 7,6)
= (5x-10) (11x+11) = 5×11(x-2) (x+1) = 55(x-2) (x+1)
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Réponse :
(a + b)(a - b) = a²-b²
Explications étape par étape :
(a + b)(a - b) = a²-b² ⇒ 101² - 99² = (101+99)(101-99) = 200×2 = 400
7, 22 x 108,7 - 7, 22 x 8, 7 = 7, 22 x (108,7-8.7) = 7, 22×100 = 722= factorisation de 7.22
(5x-10) (1, 2x+3, 4) + (5x-10) (9,8x + 7,6) = (5x-10) (1, 2x+3, 4 + 9,8x + 7,6)
= (5x-10) (11x+11) = 5×11(x-2) (x+1) = 55(x-2) (x+1)