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Exercice 4: En utilisant l'identité remarquable a²-b² = (a+b)(a-b), factoriser les expressions
suivantes.
A = 81-x²
D=(x-2)²-16
E = (2x + 1)²(x + 1)²
B = 16x² - 9
F = (x-1)²(x - 2)²
C=x²-25
G=49-(x + 1)²

Sagot :

MARIEJOE57

Réponse :

bonjour !

Explications étape par étape :

A = 81-x²

=(9-x)(9+x)

D=(x-2)²-16

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

=x-6)(x+2)

E = (2x + 1)²-(x + 1)²

=(2x+1-x-1)(2x+1+x+1)

=(x)(3x+2)

B = 16x² - 9

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

F = (x-1)²-(x - 2)²

=(x-1-x+2)(x-1+x+2)

=(2x+1)

C=x²-25

=(x-5)(x+5)

G=49-(x + 1)²

=(7-x-1)(7+x+1)

=(6-x)(x+8)

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