Mathématiques

Question

Bonjour,

Factoriser les expressions suivantes :
A = (3x + 5) (4x-7)+(3x + 5)(-6x + 1)
B = (2x+ 8)^2 - (3x + 1) (2x + 8)
C = 8x + 8 + (x + 1) (4x + 6)
D = (4x + 2)^2 - (-3x+2)^2
E = 64x^2 - (2x + 6)^2

Merci d'avance.​

1 Réponse

  • Bonsoir,

    A = (3x + 5) (4x-7)+(3x + 5)(-6x + 1)

    = (3x+5) ( 4x-7 -6x +1)

    = (3x+5) ( -2x -6)

    B = (2x+ 8)² - (3x + 1) (2x + 8)

    = (2x+8) ( 2x+8 -3x -1)

    = (2x+8) ( -x +7)

    C = 8x + 8 + (x + 1) (4x + 6)

    =  8(x+1) + (x + 1) (4x + 6)

    = (x+1)(8 +4x+6)

    =(x+1) ( 4x +14)

    D = (4x + 2)² - (-3x+2)²

    = (4x+2 + 3x -2) ( 4x+2 -3x +2)

    = (7x ) ( x +4)

    IR

    E = 64x² - (2x + 6)²

    = (8x -2x-6) ( 8x +2x +6)

    = ( 6x -6) ( 10x +6)

    IR

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