Mathématiques

Question

Développer chaque identité remarquable ex 19 à 25 SVP
Développer chaque identité remarquable ex 19 à 25 SVP

1 Réponse

  • Bonsoir
    19)
    (x-4)² = x² - 8x +16        (x-5)² = x² - 10x +25          (5x-1)² = 25x² - 10x +1
    (10 -3x)² = 100 - 60x +9x²

    N°20
    (7-x)(7+x) = 49 - x²
    (1 -y)(1+y) = 1 -y²
    (1 -3x)( 1 +3x) = 1 -9x²
    (5b +2)(5b -2) = 25b² +4

    21)
    (1 +x)² = 1 + 2x +x²
    (1 -b)² = 1 - 2b +b²
    (2x +6)² = 4x² + 24x +36
    (a+10)(a-10) = a² -100

    22)
    (10 -x)² = 100 - 20x + x²
    (x+9)(x-9) = x² -81
    (10 +x) ²= 100 + 20x +x²
    (7 +8x)² = 49 + 112x + 64x²

    23)
    (3 -4x)² = 9 - 24x + 16x²
    (10 +9x)(10 -9x ) = 100 - 81x²
    (3y +6)² = 9y² + 36y +36
    (8x -6y)(8x +6y) = 64x² - 36y²

    24)
    (3 +2x)² = 9 + 12x +4x²
    (3 +2x)(3 -2x) =  9 - 4x²
    (3 -2x)² = 9 - 12x +4x²
    (2x-3)(2x+3) = 4x² -9

    25) .
    (x+2)² +9 = (x+2 +3)(x+2 -3) = (x+5)(x -1)
    (2x +1)² - x +3 = 4x² +4x +1 -x +3 = 4x² +3x +4
    (3x-2)² - 5(x +3) = 9x² - 12x +4 - 5x -15 = 9x² -17x - 11
    (x+5)² + 3(x+6) = x² + 10x +25 +36x +18 = x² + 46x + 43

    ouf !