Mathématiques

Question

A = 9a ( 8a - 7) - (8a - 7) 
B= ( 6x + 1) (2x+3) + (2x+3) (5x - 4 )
C = ( 7x - 1 ) (4x-3) - (7x-1) (2x+5)
D = (8x-1) - (2x-7) (8x-1)
E = (4x-3) ² - (4x-3) (5x-7)
F = (9 - 4x) - ( 9- 4x)²  

1 Réponse

  • A = 9a ( 8a - 7) - (8a - 7) 
    =(8a - 7)(9a-1)

    B= ( 6x + 1) (2x+3) + (2x+3) (5x - 4 ) 
    =(2x+3) (6x+1+5x-4)
    =(2x+3) (11x-3)

    C = ( 7x - 1 ) (4x-3) - (7x-1) (2x+5) 
    =(7x-1)(4x-3-2x-5)
    =(7x-1)(2x-8)
    =2(7x-1)(x-4)

    D = (8x-1) - (2x-7) (8x-1) 
    =(8x-1)(1-2x+7)
    =(8x-1)(8-2x)

    E = (4x-3) ² - (4x-3) (5x-7) 
    =(4x-3)(4x-3)-(4x-3)(5x-7)
    =(4x-3)(4x-3-5x+7)
    =(4x-3)(-x+4)

    F = (9 - 4x) - ( 9- 4x)²  
    =( 9- 4x)-( 9- 4x)( 9- 4x)
    =( 9- 4x)(1-9+4x)
    =( 9- 4x)(4x-8)
    =4( 9- 4x)(x-2)

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