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Exercice 4
Factorise puis réduis chaque expression.
M = (x +4)²- 49
M = (x+4)²- 7²

N = 4-(1-3x)²
svp ​

Sagot :

MPOWER

Réponse :

Bonjour,

Identité remarquable de la forme:

(a – b)(a + b) ⇔ a² – b²

M = (x + 4)² – 49

= (x + 4)² – 7²

= [(x + 4) + 7][(x + 4) – 7]

= (x + 11)(x – 3)

N = 4 – (1 – 3x)²

= 2² – (1 – 3x)²

= [2 + (1 – 3x)][2 – (1 – 3x)]

= (2 + 1 – 3x)(2 – 1 + 3x)

= (3 – 3x)(1 + 3x)

= 3(1 – x)(1 + 3x)

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