Mathématiques

Question

Factorisez les expressions.
A =(-7x - 6 ) (x + 5) + (8x - 9) (x + 5)
B =5(5 - 2x) (x + 1) + 5(8x - 5) (x + 1)
C =6(x + 1) (3x - 2) - 2(2 - 5x) (x + 1)
D =16(x - 1) au carré - 8(x - 1) (x + 5)
Factorisez les expressions.
A = 49x au carré - 9
B = 100x au carré + 100x + 25
C = 25x au carré - 90x + 81
D = 25x au carré - 70x + 49
E = 16x au carré - 49

1 Réponse

  • A =(-7x - 6 ) (x + 5) + (8x - 9) (x + 5)
    (x+5)(-7x-6+8x-9) =(x+5)(x-15)

    B =5(5 - 2x) (x + 1) + 5(8x - 5) (x + 1)
    (x+1)(25-10x+40x-25)
    (x+1)(30x)

    C =6(x + 1) (3x - 2) - 2(2 - 5x) (x + 1)
    (x+1)(18x-12-4+10x)
    (x+1)(28x-16)
    4(x+1)(7x-4)

    D =16(x - 1) au carré - 8(x - 1) (x + 5)
    (x-1)(16x-16-8x-40)
    (x-1)(-24x-56)
    8(x-1)(-3x-7)

    Factorisez les expressions.
    A = 49x au carré - 9 =(7x-3)(7x+3)

    B = 100x au carré + 100x + 25  =(10x+5)

    C = 25x au carré - 90x + 81 ) = (5x-9)²

    D = 25x au carré - 70x + 49 = (5x-7)²

    E = 16x au carré - 49 =(4x-3)(4x+3)

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