Inscription / Connexion Nouveau Sujet
Bonjours, factorisation
ex 2 :
Factoriser
L= (3y-5)(2y+1)+(y-7)(15-9y)
M= (t+4)²-(2t-1)²
N= (4y-3)(y+1)+y²-1
P= t+t²/4+1
S= (2t-3)(3t+4)-(t-5)(3-2t)
BONJOUR,
L= (3y-5)(2y+1)+(y-7)(15-9y)
= L= (3y-5)(2y+1)+3(5-3y)(y-7)
= (3y-5)(2y+1)-3(-5+3y)(y-7)
facto (3y-5)[(2x+1-3(y-7)]=
......................
M= (t+4)²-(2t-1)² = a²-b² qu'on facto (a-b)(a+b)
a² =(t+4)², a =(t+4)
b² = (2t-1)², b =(2t-1)
N= (4y-3)(y+1)+y²-1
y²-1 =a²-b² =(y+1)(y-1)
= (4y-3)(y+1)+(y-1)(y+1)
:-xL=(3y-5)(2y+1)+(y-7)(15-9y)
= (3y-5)(2y+1)+3(5-3y)(y-7)
= (3y-5)(2y+1)-3(-5+3y)(y-7)
= (5-3y)(2y+1-3y+21)
=(5-3y)(-y+22)
M = (t+4)²-(2t-1)²
= [(t+4)-(2t-1)] [(t+4)+(2t-1)]
= (t+4-2t+1) (t+4+2t-1)
= (-1t+5) (3t+3)
N= (4y-3)(y+1)+y²-1
= (4y-3)(y+1)+(y-1)(y+1)
= (y+1)[(4y-3)+(y-1)]
= (y+1) (4y-3+y-1)
= (y+1) (5y-4)
Annuler
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