Sagot :
Bonsoir :)
Développer puis réduire chaque expression :
A = 3(x - 2) + 5(3 - x)
A = 3x - 6 + 15 - 5x
A = 3x - 5x - 6 + 15
A = -2x + 9
B = x(3 + x) - 2(x + 5)
B = 3x + x² - 2x - 10
B = x² + 3x - 2x - 10
B = x² + x - 10
C = -2(x - 7) - 2(x² + x) + 4(x² + 1)
C = -2x + 14 - 2x² - 2x + 4x² + 4
C = -2x² + 4x² - 2x - 2x + 14 + 4
C = 2x² - 4x + 18
D = 2x(-x + 5) - x²(1 - x)
D = -2x² + 10x - 1x² + x³
D = x³ - 3x² + 10x
E = -6x(2x² - 3x) - 3(x + 4x²) - x(-3 + 4x)
E = -12x³ + 18x² - 3x - 12x² + 3x - 4x²
E = -12x³ + 18x² - 12x² - 4x² - 3x + 3x
E = -12x³ + 2x²
Bonne soirée :)
Note : (2) ça veut dire au carré,(3) au cube
A = 3(x-2)+5(3-x)
= 3x-3*2+5*3-5x
= -2x-6+15
= -2x + 9
B = x(3+x)-2(x+5)
= 3x+x*x-2x-2*5
= x(2) + x -10
c = -2(x-7)-2(x(2) + x) + 4(x(2)+1)
= -2x -2*-7 -2x(2) -2x +4x(2) + 4*1
= -2x(2)+4x(2) -2x-2x +14+4
= 2x(2) -4x +18
D = 2x(-x+5)-x(2) (1-x)
= 2x*-x +2x*5 -x(2)*1 -x(2)*-x
= x(3) -2x(2)-x(2) +10x
= x(3) -3x(2) +10x
E = -6x(2x(2)-3x)-3(x+4x(2))-x(-3+4x)
= -6x*2x(2) -6x*-3x -3*x -3*4x(2) -x*-3 -x*4x
= -12x(3) +18x(2) -3x -12x(2) +3x -4x(2)
= -12x(3) +2x(2)