Bonjour,
Développer chaque expression.
A-) x(x+1)(x+2)= x(x²+x+2x+2)= x(x²+3x+2)= x³+3x²+2x
B-) (x+7)(x-3)(x-2) = (x+7)(x²-3x-2x+6)= (x+7)(x²-5x+6)= x³-5x²+6x+7x²-35x+42
= x³+2x²-29x+42
C-) (2x-1)(x+2)(3x+2) même raisonnement que B
D-) (x√2-3)(2x+5√2)= 2√2x²-6x+5x√4-15√2= 2√2x²-6x+2*5-15√2
= 2√2x²-6x+10x-15√2=2√2x²-15√2+4x
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Bonjour,
Développer chaque expression.
A-) x(x+1)(x+2)= x(x²+x+2x+2)= x(x²+3x+2)= x³+3x²+2x
B-) (x+7)(x-3)(x-2) = (x+7)(x²-3x-2x+6)= (x+7)(x²-5x+6)= x³-5x²+6x+7x²-35x+42
= x³+2x²-29x+42
C-) (2x-1)(x+2)(3x+2) même raisonnement que B
D-) (x√2-3)(2x+5√2)= 2√2x²-6x+5x√4-15√2= 2√2x²-6x+2*5-15√2
= 2√2x²-6x+10x-15√2=2√2x²-15√2+4x