Mathématiques

Question

quelqu'un peut m'aider à réduire et ordonner les équations suivantes, en détail?

A= (x+1)(x-1)
B= (y+3)(y-3)
C= (-a+1)(-a+1)
D= (x+3)(x-3)
E=(-x+2)(-x+2)+(-2x+1)(x+1)
F= (-5a+1)(a-1)+(a+1)(a+3)
G=(4y+1)(-y+4)+(-2y+5)(4y-1)

voilàààà merci ! :)

2 Réponse

  • A= (x+1)(x-1)
    =x²-1

    B= (y+3)(y-3)
    =y²-3²
    =y²-9

    C= (-a+1)(-a+1)
    =(-a)²-1
    =a²-1

    D= (x+3)(x-3)
    =x²-3²
    =x²-9

    E=(-x+2)(-x+2)+(-2x+1)(x+1)
    =x²-2x-2x+4+(-2x²)-2x+x+1
    =-x²-5x+5

    F= (-5a+1)(a-1)+(a+1)(a+3)
    =-5a²+5a+x-1+a²+3a+a+3
    =-4a²+10a+2

    G=(4y+1)(-y+4)+(-2y+5)(4y-1)
    =-4y²+16y-y+4+(-8y²)+2y+20y-5
    =-12y²+37y-1
  • A = (x+1)(x-1)
       =x²-x+x-1=x²-1
    B = (y+3)(y-3)
       =y²-3y+3y-9=y²-9
    C = (-a+1)(-a+1)
       =a²-a-a+1=a²-2a+1
    D = (x+3)(x-3)
       =x²-3x+3x-9=x²-9
    E = (-x+2)(-x+2)+(-2x+1)(x+1)
       =(x²-2x-2x+4)+(-2x²-2x+x+1)
       =-x²-5x+5
    F = (-5a+1)(a-1)+(a+1)(a+3)
       =-5a²+5a+a-1+a²+3a+a+3
       =-4a²+10a+2
    G = (4y+1)(-y+4)+(-2y+5)(4y-1)
       =-4y²+16y-y+4+(-8y²+2y+20y-5)
       =-12y²+37y-1

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