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Evaatbk
@Evaatbk
May 2019
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Bonjour pouvez-vous m’aidez sur l’exercice 4 sur la factorisation pour un DM svp merci
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PetiteKyojo
Bonjour ,
12x³-3x
x(4x²-1)
=3x(2x-1)(2x+1)
(4x+1)(x-1)-(x-4)(1-x)-3x(x-1)
(4x+1)(x-1)-(x-4)(-(x-1))-3x(x-1)
(4x+1)(x-1)+(x-4)(x-1)-3x(x-1)
(x-1)(4x+1+x-4-3x)
=(x-1)(2x-3)
27x³-36x²+12x
3x(9x²-12x+4)
=3x(3x-2)²
(2x+1)(2x-6)+(x-2)(3-x)
4x²-12x+2x-6+3x-x²-6+2x
=3x²-5x-12
(x+1)(2x-1)+6x²-3x
2x²-x+2x-1+6x²-3x
=8x²-2x-1
x⁴-2x³+x²-2x
x(x³-2x²+x-2)
x(x²(x-2)+x-2)
x(x²+1)(x-2)
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Lista de comentários
12x³-3x
x(4x²-1)
=3x(2x-1)(2x+1)
(4x+1)(x-1)-(x-4)(1-x)-3x(x-1)
(4x+1)(x-1)-(x-4)(-(x-1))-3x(x-1)
(4x+1)(x-1)+(x-4)(x-1)-3x(x-1)
(x-1)(4x+1+x-4-3x)
=(x-1)(2x-3)
27x³-36x²+12x
3x(9x²-12x+4)
=3x(3x-2)²
(2x+1)(2x-6)+(x-2)(3-x)
4x²-12x+2x-6+3x-x²-6+2x
=3x²-5x-12
(x+1)(2x-1)+6x²-3x
2x²-x+2x-1+6x²-3x
=8x²-2x-1
x⁴-2x³+x²-2x
x(x³-2x²+x-2)
x(x²(x-2)+x-2)
x(x²+1)(x-2)