Salut je dois développer puis réduire ces expressions aidez moi A= [(x+2) (2x-3)] - [(x+1) (x-2)] B= - [(x-2)(x+1)] + [(x+4)(x-2)] C= - [(5-x)(2x+3)] - [(2x+1)(
Mathématiques
clocloclo753
Question
Salut je dois développer puis réduire ces expressions aidez moi
A= [(x+2) (2x-3)] - [(x+1) (x-2)]
B= - [(x-2)(x+1)] + [(x+4)(x-2)]
C= - [(5-x)(2x+3)] - [(2x+1)(x+6)]
D= 2 [(5y+2)(y-2)] - [(y+1)(y-1)]
E= -3 [(x+2)(2x-3)] -4 [(x-1)(x+2)]
A= [(x+2) (2x-3)] - [(x+1) (x-2)]
B= - [(x-2)(x+1)] + [(x+4)(x-2)]
C= - [(5-x)(2x+3)] - [(2x+1)(x+6)]
D= 2 [(5y+2)(y-2)] - [(y+1)(y-1)]
E= -3 [(x+2)(2x-3)] -4 [(x-1)(x+2)]
1 Réponse
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1. Réponse nonoduchablais
Salut !
[tex]A = [(x+2)(2x-3)] - [(x+1)(x-2)] \\ A = 2 x^{2} -3x+4x-6 - ( x^{2} -2x+x-2) \\ A = 2 x^{2} -3x+4x-6- x^{2} +2x-x+2 \\ A = x^{2} +2x-4 [/tex]
[tex]B= - [(x-2)(x+1)] + [(x+4)(x-2)] \\ B = -( x^{2} +x-2x-2) + ( x^{2} -2x+4x-8) \\ B = - x^{2} -x+2x+2+ x^{2} -2x+4x-8 \\ B = 3x -6[/tex]
[tex]C= - [(5-x)(2x+3)] - [(2x+1)(x+6)] \\ C = -(10x+15-2 x^{2} -3x)-(2 x^{2} +12x+x+6) \\ C = -10x-15+2 x^{2} +3x-2 x^{2} -12x-x-6 \\ C = -20x-21[/tex]
[tex]D= 2 [(5y+2)(y-2)] - [(y+1)(y-1)] \\ D = 2(5 y^{2} -10y+2y-4) - ( y^{2} -y+y-1) \\ D = 2(5 y^{2} -8y-4) - ( y^{2} -1) \\ D = 10 y^{2} -16y-8 - y^{2} +1 \\ D = 9 y^{2} -16y-7[/tex]
[tex]E= -3 [(x+2)(2x-3)] -4 [(x-1)(x+2)] \\ E = -3(2 x^{2} -3x+4x-6)-4( x^{2} +2x-x-2) \\ E = -3(2 x^{2} +x-6) - 4( x^{2} +x-2) \\ E = -6 x^{2} -3x+18-4 x^{2} -4x+8 \\ E = -10 x^{2} -7x+26[/tex]
J'espère t'avoir aidé(e) ! :)