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Bonjour,
Exercice 1 :
A = 3(6x+2) = 18x+6
B = x(2x+3)-3(5x+4) = 2x²+3x-15x-4 = 2x²-12x-4
C = (2x+1)(3x+5) = 6x²+10x+3x+5 = 6x²+13x+5
D = (4-6x)(3x-4) = 12x-16-18x+24 = -6x+8
E = (4x+3)(3x+2)+(4x+3)(8x-2) = 12x²+8x+9x+6+32x²-8x+24x-6 = 44x²+33x
F = (x+8)²-(x+8)(-5x+18) = x²+16x+64+5x²-18x+40x-144 = 6x²+38x-80
G = (7y+2)(4y-5)-(7y+2)(14y-10) = 28y²-35y+8y-10-98y²+70y-28y+20 = -70y²+15y+10
Exercice 2 :
A = 5.2y+5.2x = 5.2(y+x)
B = 3x+3*18 = 3(x+18)
C = 18(x+5)+2(x+5) = (x-5)(18+2) = 20(x+5)
D = (4x+3)(3x+2)+(4x+3)(8x-2) = (4x+3)(3x+2+8x-2) = 11x(4x+3)
E = (7y+2)(4y-5)-(7y+2)(14y-10) = (7y+2)(4y-5-14y+10) = (7y+2)(-10y+5)
F = (x+8)²-(x+8)(-5x+18) = (x+8)(x+8+5x-18) = (x+8)(6x-10)
Exercice 1 :
A = 3(6x+2) = 18x+6
B = x(2x+3)-3(5x+4) = 2x²+3x-15x-4 = 2x²-12x-4
C = (2x+1)(3x+5) = 6x²+10x+3x+5 = 6x²+13x+5
D = (4-6x)(3x-4) = 12x-16-18x+24 = -6x+8
E = (4x+3)(3x+2)+(4x+3)(8x-2) = 12x²+8x+9x+6+32x²-8x+24x-6 = 44x²+33x
F = (x+8)²-(x+8)(-5x+18) = x²+16x+64+5x²-18x+40x-144 = 6x²+38x-80
G = (7y+2)(4y-5)-(7y+2)(14y-10) = 28y²-35y+8y-10-98y²+70y-28y+20 = -70y²+15y+10
Exercice 2 :
A = 5.2y+5.2x = 5.2(y+x)
B = 3x+3*18 = 3(x+18)
C = 18(x+5)+2(x+5) = (x-5)(18+2) = 20(x+5)
D = (4x+3)(3x+2)+(4x+3)(8x-2) = (4x+3)(3x+2+8x-2) = 11x(4x+3)
E = (7y+2)(4y-5)-(7y+2)(14y-10) = (7y+2)(4y-5-14y+10) = (7y+2)(-10y+5)
F = (x+8)²-(x+8)(-5x+18) = (x+8)(x+8+5x-18) = (x+8)(6x-10)
a= 18x - 6
b=(2x² + 3x) - (15x + 12)
= 2x² + 3x - 15x - 12
= 2x² - 12x - 12
f= (x² + 16x + 64 ) - (-5x² + 18x - 40x + 144)
= x² + 16x + 64 + 5x² - 18x + 40x - 144)
= 5x² + 38X - 80
g= (28y² - 35y + 8y - 10) - (98y² - 70y + 28y - 20 )
= 28y² - 35y + 8y - 10 - 98y² + 70y - 28y + 20
= -70y² + 15y + 10
b=(2x² + 3x) - (15x + 12)
= 2x² + 3x - 15x - 12
= 2x² - 12x - 12
f= (x² + 16x + 64 ) - (-5x² + 18x - 40x + 144)
= x² + 16x + 64 + 5x² - 18x + 40x - 144)
= 5x² + 38X - 80
g= (28y² - 35y + 8y - 10) - (98y² - 70y + 28y - 20 )
= 28y² - 35y + 8y - 10 - 98y² + 70y - 28y + 20
= -70y² + 15y + 10
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