Mathématiques

Question

Développe et réduis les expressions suivantes :
D = ( x – 2 ) ( x + 2 ) – 4x ( x – 6 )
E = 4 ( 5x + 2 ) ( 3 – x ) – ( x + 2 ) ( 2x – 1 )
V = ( x + 1 )2 + ( x – 1 )²

2 Réponse

  • D = ( x – 2 ) ( x + 2 ) – 4x ( x – 6 )
    d = x²+2x-2x-4 -4x²+24x
    d =  -3x²+24x-4


    E= 4 ( 5x + 2 ) ( 3 – x ) – ( x + 2 ) ( 2x – 1 )
    e = 4(15x-5x²+6-2x) -(2x²-x+4x-2)
    e =60x -20x² +24 -8x -2x²+x-4x+2
    e =  -22x² +49x +26


    V = ( x + 1 )² + ( x – 1 )²

    v = x²+2x+1 +x²-2x+1
    v = 2x²+2
  • D= (x-2)(x+2)-4x(x-6) =

    x²+2x-x-2x- (4x²-24x)=
    x²-x-4x²+24x=
    3x²+23x

    E= 4(5x+2)(3-x)-(x+2)(2x-1)=

    4(15x-5x²+6-2x)-(2x²-x+4x-2)=
    60x-20x²+24-8x-2x²+x-4x+2=
    49x-22x²+24

    V=(x+1) ²+(x-1)²=
    x²-1



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