Mathématiques

Question

svp aide moi c'est pour demain

a) (2x+3)²,

b) (2x-3)²,

c) (2x+5)(2x-3),
exercices suivant

d) (2x-3)²+(2x+3)²,

a) A= (x+1)²-9,

b) B= (4x+3)²-x +6,

c) C= (5x-3)²-4x(x+2),

d) D= 2(x+5)+(x+8),

suite

a) A= 4-(5x+1)² ,

b) B= 3(6x+2)-(7
x-3)²,

c) C= ( x+1)²-(x+6)²,

D) d= (2x+1)²-(2x-1)²,

2 Réponse

  • a) (2x+3)²
    = 4x² + 12x + 9

    b) (2x-3)²
    = 4x² - 12x + 9

    c) (2x+5)(2x-3)
    = 4x² - 6x + 10x - 15
    = 4x² + 4x - 15

    d) (2x-3)²+(2x+3)²
    = 4x² - 12x + 9 + 4x² + 12x + 9
    = 4x² + 4x² - 12x + 12x + 9 + 9
    = 8x² + 18

    a) A= (x+1)²-9
    A = x² + 2x + 1 - 9
    A = x² + 2x - 8

    b) B= (4x+3)²-x +6
    B = 16x² + 24x + 9 - x + 6
    B = 16x² + 24x + 15

    c) C= (5x-3)²-4x(x+2)
    C = 25x² - 30x + 9 - 4x² - 8x
    C = 25x² - 4x² - 30x - 8x + 9
    C = 21x² - 38x + 9

    d) D= 2(x+5)+(x+8)
    D = 2x + 10 + x + 8
    D = 2x + x + 10 + 8
    D = 3x + 18

    a) A= 4-(5x+1)²
    A = 4 - (25x² + 10x + 1)
    A = 4 - 25x² - 10x - 1
    A = - 25x² - 10x + 4 - 1
    A = - 25x² - 10x + 3

    b) B= 3(6x+2)-(7x-3)²
    B = 18x + 6 - (49x² - 42x + 9)
    B = 18x + 6 - 49x² + 42x - 9
    B = - 49x² + 18x + 42x + 6 - 9
    B = - 49x² + 60x - 3

    c) C= ( x+1)²-(x+6)²
    C = x² + 2x + 1 - (x² + 12x + 36)
    C = x² + 2x + 1 - x² - 12x - 36
    C = x² - x² + 2x - 12x + 1 - 36
    C = - 10x - 35

    D) d= (2x+1)²-(2x-1)²
    D = 4x² + 4x + 1 - (4x² - 4x + 1)
    D = 4x² + 4x + 1 - 4x² + 4x - 1
    D = 4x² - 4x² + 4x + 4x + 1 - 1
    D = 8x
  • a) (2x+3)² = 2²+3² = 4+9 = 13
    b) (2x-3)² = 2²-3² = 4-9 = -5
    c) (2x+3)²(2x-3)² = (4+9)(4-9) = 4x4 + 4x-9 + 9x4 + 9x-9 = 16 - 36 + 36 - 81 = - 65
    exercice suivant :
    d) (2x-3)² + (2x+3)² = (4+9) + (4-9) = 13 - 5 = 8
    a) A=(x+1)²-9 = 1²+1²-9 = 1+1-9 = -7

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