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Sara51
@Sara51
April 2019
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Exercice 2
On considère l'expression D=(3 x -2)² - (3 x -2 )(3 + 5 x)
1-Développer et réduire D.
2-Factoriser D.
3-En utilisant la forme de D la mieux adaptée, calculer la valeur de D pour x=0 et x=2/3.
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nonotata
1/ D=(3 x -2)² - (3 x -2 )(3 + 5 x)
9x²-12x+4 -(9x+15x²-6-10x)
9x²-12x+4 +x-15x²+6
-6x²-11x+10
2/
D=(3 x -2)² - (3 x -2 )(3 + 5 x)
(3x-2)(3x-2-3-5x)
(3x-2)(-2x-5)
3/
pour x =0
-6x²-11x+10
-6(0)²-11(0) +10
0 -0 +10
=10
pour x =2/3
(3x-2)(-2x-5)
(3*2/3 -2)(-2*2/3 -5)
(2-2)(4/3-5)
0(4/3-15/3)
0(-11/3)
=0
0 votes
Thanks 0
rapha00
1- Developpons:
D= ( 3x-2) ²- (3x-2) (3+5x)
D= 9x²- 4 - 9x +15x²-6+10x
D= 24x²-10-19x
2- factorisons
D= (3x-2)²- (3x-2)(3+5x)
D= (3x-2) (3x-2-3x-2+3+ 5x
D= (3x-2) (-1+5x)
0 votes
Thanks 0
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1/ D=(3 x -2)² - (3 x -2 )(3 + 5 x)9x²-12x+4 -(9x+15x²-6-10x)9x²-12x+4 +x-15x²+6-6x²-11x+102/ D=(3 x -2)² - (3 x -2 )(3 + 5 x)(3x-2)(3x-2-3-5x)(3x-2)(-2x-5)3/pour x =0-6x²-11x+10-6(0)²-11(0) +100 -0 +10=10pour x =2/3(3x-2)(-2x-5)(3*2/3 -2)(-2*2/3 -5)(2-2)(4/3-5)0(4/3-15/3)0(-11/3)=0
D= ( 3x-2) ²- (3x-2) (3+5x)
D= 9x²- 4 - 9x +15x²-6+10x
D= 24x²-10-19x
2- factorisons
D= (3x-2)²- (3x-2)(3+5x)
D= (3x-2) (3x-2-3x-2+3+ 5x
D= (3x-2) (-1+5x)