Bonjour,
Réponse :
Factoriser :
[tex]B= x^{2} (3x-2)+(8-12 x)(x-6)^{2} \\B= x^{2} (3x-2)-4(3x-2)(x-6)^{2} \\B = (3x-2)(x^{2} -4(x-6)^2)\\B = (3x-2)(x^{2} -2^2(x-6)^2)\\B = (3x-2)(x^{2} -(2(x-6))^2)\\B = (3x-2)(x^{2} -(2x-12)^2)\\B = (3x-2)(x -(2x-12))(x +(2x-12))\\B = (3x-2)(x -2x+12)(x +2x-12)\\B = (3x-2)(-x+12)(3x-12)\\\boxed{B = -3(3x-2)(x-12)(x-4)}[/tex]
En espérant t'avoir aidé, bonne continuation ! ;)
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Bonjour,
Réponse :
Factoriser :
[tex]B= x^{2} (3x-2)+(8-12 x)(x-6)^{2} \\B= x^{2} (3x-2)-4(3x-2)(x-6)^{2} \\B = (3x-2)(x^{2} -4(x-6)^2)\\B = (3x-2)(x^{2} -2^2(x-6)^2)\\B = (3x-2)(x^{2} -(2(x-6))^2)\\B = (3x-2)(x^{2} -(2x-12)^2)\\B = (3x-2)(x -(2x-12))(x +(2x-12))\\B = (3x-2)(x -2x+12)(x +2x-12)\\B = (3x-2)(-x+12)(3x-12)\\\boxed{B = -3(3x-2)(x-12)(x-4)}[/tex]
En espérant t'avoir aidé, bonne continuation ! ;)