résolu

Développer réduire et ordonner :

A = (3x-1)^2(x-3)
B = -(x-1)(x+2)(x-3)
C = (5x-2)^3
D=(x+7)^3
E=-4(x-1)^2+'(-x+1)^2
F=-5(2x-1)^3

Répondre :

droopette
A = (3x-1)²(x-3)
=(9x²-6x+1)(x-3)
=9x³-6x²+x-27x²+18x-3
=9x³-33x²+19x-3

B = -(x-1)(x+2)(x-3)
=-(x²+2x-x-2)(x-3)
=-(x²+x-2)(x-3)
=-(x³+x²-2x-3x²-3x+6)
=-x³-x²+2x+3x²+3x-6
=-x³+2x²+5x-6

C = (5x-2)³
=125x³-3*25x²*2+3*5x*2²-2³
=125x³-150x²+30x-8

D=(x+7)³
=x³+3*x²*7+3*x*7²+7³
=x³+21x²+147x+343

E=-4(x-1)²+'(-x+1)²
=-4(x²-2x+1)+(x²-2x+1)
=-4x²+8x-4+x²-2x+1
=-3x²+6x-3

F=-5(2x-1)³
=-5(8x³-3*4x²+3*2x-1³)
=-40x³+60x²-30x+5

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