Mathématiques

Question

Exercice 2 ;
1. Développer en utilisant les identités remarquables :
F = ( 4x+5)² G = (6x-1)²
H = (3x+2)(3x-2) I = 1 - (3-4x)² + (5x-3)(5x+3)

2. Factoriser ...
E = 81x²+90x+25 F = 16x² - 24x +9
G = 4x²-64 H = (2x+5)²-36
I = 25-5x+1)²
Merci beaucoup !!!!

1 Réponse

  • 1. Développer
    F = ( 4x+5)² =16x²+40x+25
    G = (6x-1)²=36x²-12x+1
    H = (3x+2)(3x-2) =9x²-4
    I = 1 - (3-4x)² + (5x-3)(5x+3)
    =1-16x²+24x-9+25x²-9
    =9x²+24x-17

    2. Factoriser ...
    E = 81x²+90x+25 =(9x+5)²
    F = 16x² - 24x +9=(4x-3)²
    G = 4x²-64 =(2x-8)(2x+8)=4(x-4)(x+4)
    H = (2x+5)²-36=(2x+11)(2x-1)
    I = 25-(5x+1)² =(5x+6)(-5x+4)

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