Mathématiques

Question

bonjour pouvez vous m'aider devellopper puis reduire
a)4(x - 5 ) + 2 (x + 1 ) =
b)2( 3 x + 4 ) + 3 ( x - 2 )=
c)5 ( 3 - 2x ) - 2 ( x + 3 ) =
d)- 3 (2x - 5 ) - ( 4 - x )=
e)4 (5x -3 ) + (2x - 1 = (x + 4)=
f)3x - x (4x +1 ) + (-x +2 ) (5 - 4x)
g)(2x + 3 )(+2x + 7) - (3x - 4)(2 + 5x)=
merci

2 Réponse

  • Bonjour,

    a)4(x - 5 ) + 2 (x + 1 )
    = 4x - 20 + 2x + 2
    = 4x + 2x - 20 + 2
    = 6x - 18

    b)2( 3 x + 4 ) + 3 ( x - 2 )
    = 6x + 8 + 3x - 6
    = 6x + 3x + 8 - 6
    = 9x + 2

    c)5 ( 3 - 2x ) - 2 ( x + 3 )
    = 15 - 10x - 2x - 6
    = - 10x - 2x + 15 - 6
    = - 12x + 9

    d)- 3 (2x - 5 ) - ( 4 - x )
    = - 6x + 15 - 4 + x
    = - 6x + x + 15 - 4
    = - 5x + 11

    e)4 (5x -3 ) + (2x - 1) - (x + 4)
    = 20x - 12 + 2x - 1 - x - 4
    = 20x + 2x - x - 12 - 1 - 4
    = 21x - 17

    f)3x - x (4x +1 ) + (-x +2 ) (5 - 4x)
    = 3x - 4x² - x - 5x + 4x² + 10 - 8x
    = - 4x² + 4x² + 3x - 5x - 8x - x + 10
    = - 11x + 10

    g)(2x + 3 )(+2x + 7) - (3x - 4)(2 + 5x)
    = 4x² + 14x + 6x + 21 - (6x + 15x² - 8 - 20x)
    = 4x² + 14x + 6x + 21 - 6x - 15x² + 8 + 20x
    = 4x² - 15x² + 14x + 6x - 6x + 20x + 21 + 8
    = - 11x² + 34x + 29
  • a) 4(x-5)+2(x+1)
    = 4x-20+2x+2
    =6x-18
    b) 2(3x+4)-3(x-2)
    =6x+8-3x+6
    =3x+14
    c) 5(3-2x)-2(x+3)
    =15-10x-2x-6
    =-12x+9
    d)- 3(2x-5)-(4-x)
    =-6x+15-4-4x
    =-10x+11
    e)?
    f)(3x-x)(4x+1)+(-x+2)(5-4x)
    =12x²+3x-4x²-x-5x+4x²+10-8x
    =16x²-11x+10
    g)(2x+3)(2x+7)-(3x-4)(2+5x)
    =4x²+14x+6x+21-6x-15x²+8-20x
    =-11x²-12x+29

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