Question
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
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
Asked by: USER8264
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Answer (257)
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)