Mathématiques

Question

Pouvez vous m'aider s'il vous plait j'y arrive pas.
il faut factoriser les expressions suivantes
Exemple :
A= ( 10x - 10 ) - ( 10x - 6 ) ( 10x - 7 )
= ( 10x - 7 ) × ( 1 - 10x + 6)
= ( 10x - 7 ) × ( 7- 10x )
Pouvez vous m'aider s'il vous plait j'y arrive pas. il faut factoriser les expressions suivantes Exemple : A= ( 10x - 10 ) - ( 10x - 6 ) ( 10x - 7 ) = ( 10x - 7

1 Réponse

  • Bonjour

    A = -(-9x + 10)(4x - 3) - (4x - 3)

    A = -(4x - 3)(-9x + 10 + 1)

    A = -(4x - 3)(-9x + 11)

    B = 64x^2 - 36

    B = (8x)^2 - 6^2

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

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

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

    C = -(-8x + 8)(6x + 2) + (-8x + 8)(9x - 6)

    C = (-8x + 8)(-6x - 2 + 9x - 6)

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

    D = (3x + 8)(-x + 4) + 9x^2 - 64

    D = (3x + 8)(-x + 4) + (3x)^2 - 8^2

    D = (3x + 8)(-x + 4) + (3x - 8)(3x + 8)

    D = (3x + 8)(-x + 4 + 3x - 8)

    D = (3x + 8)(2x - 4)

    D = (3x + 8) * 2(x - 2)

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

    E = (-7x - 9)^2 - 49

    E = (-7x - 9)^2 - 7^2

    E = (-7x - 9 - 7)(-7x - 9 + 7)

    E = (-7x - 16)(-7x - 2)

    F = (-9x + 1)^2 + (-9x + 1)(-5x + 7)

    F = (-9x + 1)(-9x + 1 - 5x + 7)

    F = (-9x + 1)(-14x + 8)

    F = (-9x + 1) * 2(-7x + 4)

    F = 2(-9x + 1)(-7x + 4)

    Exercice 6 :

    A = (-3x + 6)(2x - 1) + (-5x + 1)(-3x + 6)

    A = (-3x + 6)(2x - 1 - 5x + 1)

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

    A = -9x(-x + 2)

    B = (-x - 5)^2 - 25

    B = (-x - 5)^2 - 5^2

    B = (-x - 5 - 5)(-x - 5 + 5)

    B = (-x - 10)(-x)

    B = -x(-x - 10)

    B = -x * (-1)(x + 10)

    B = x(x + 10)

    C = -(-10x + 4)(-10x - 5) + (-10x - 5)

    C = -(-10x - 5)(-10x + 4 - 1)

    C = -(-10x - 5)(-10x + 3)

    D = 81x^2 - 36

    D = (9x)^2 - 6^2

    D = (9x - 6)(9x + 6)

    D = 3(3x - 2) * 3(3x + 2)

    D = 9(3x - 2)(3x + 2)

    E = (10x + 9)(-4x - 2) + (-4x - 2)^2

    E = (-4x - 2)(10x + 9 - 4x - 2)

    E = -2(2x + 1)(6x + 7)

    F = -(-10x - 4)(9x - 5) + 81x^2 - 25

    F = -(-10x - 4)(9x - 5) + (9x)^2 - 5^2

    F = (10x + 4)(9x - 5) + (9x - 5)(9x + 5)

    F = (9x - 5)(10x + 4 + 9x + 5)

    F = (9x - 5)(19x + 9)