Je dois factoriser les expressions suivantes, je n'y arrive vraiment pas! : O = x²-9 P = 4x²-25 Q = 25x²-36 T = (x+3)²-9 U = 25-(x+1)² V = (2x-5)²-x² W = (x-2)²
Mathématiques
Nerah
Question
Je dois factoriser les expressions suivantes, je n'y arrive vraiment pas! :
O = x²-9
P = 4x²-25
Q = 25x²-36
T = (x+3)²-9
U = 25-(x+1)²
V = (2x-5)²-x²
W = (x-2)²-4x²
X = (2x+1)²-(x+2)²
O = x²-9
P = 4x²-25
Q = 25x²-36
T = (x+3)²-9
U = 25-(x+1)²
V = (2x-5)²-x²
W = (x-2)²-4x²
X = (2x+1)²-(x+2)²
2 Réponse
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1. Réponse nonotata
O = x²-9 =(x-3)(x+3)
P = 4x²-25 =(2x-5)(2x+5)
Q = 25x²-36 =(5x-6)(5x+6)
T = (x+3)²-9 = (x+3)² -3² = (x+3-3)(x+3+3) =x(x+6)
U = 25-(x+1)² = 5² -(x+1)² = (5-x-1)(5+x+1) =(-x+4)(x+6)
V = (2x-5)²-x² =(2x-5-x)(2x-5+x) =(x-5)(3x-5)
W = (x-2)²-4x² =(x-2-2x)(x-2+2x) =(-x-2)(3x-2)
X = (2x+1)²-(x+2)² =(2x+1-x-2)(2x+1+x+2) =(x-1)(3x+3) -
2. Réponse Rachoucha
O=(x-3)(x+3) P=(2x-5)(2x+5) Q=(5x-6)(5x+6) T=x(x+6)