Mathématiques

Question

b. (2x+1)au carre -4
c. 25-(5x-4)au carré
d. (x+1)au carré-4x au carré
e. x au carré-(-2x+5)au carré
f. 9x au carré-(2x-3)au carré

FACTORISER CHAQUE EXPRESSION

2 Réponse

  • b = (2x+1-2)(2x+1+2) =(2x-1)(2x+3)

    c = 5² -(5x-4) = (5-5x+4)(5+5x-4) = (-5x+9)(5x+1)

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

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

    f =(3x-2x+3)(3x+2x-3) =(x+3)(5x-3)
  • b.)  (2x +1)^2 - 4
    = 4x^2 + 4x + 1 - 4
     = 4x^2 + 4x -3

    c.) 25 - (5x - 4)^2
       = 25 -( 25x^2 -40x +16)
       =25 -16 +40x - 25x^2
      =-25x^2 + 40x + 9
      
    d.) (x + 1)^2 -(4x)^2
    = x^2 + 2x + 1 - 16x^2
    =-15x^2 + 2x + 1

    e.) x^2 - (-2x + 5)^2
    = x^2 -( 4x^2 - 20x + 25)
    =-3x^2 + 20x -25

    f.) (9x)^2 - (2x - 3)^2
    =81x^2 - 4x^2 + 12x - 9
    =77x^2  + 12x  - 9


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