Bonjour svp vous pouvez m’aider pour développer et réduire ces calculs mais pas factoriser ? B=3x-(3-3y)+3(z+1) C=(x+y-1)+(x+y+1)-(x+y-z) D=2(x-y)+3(y-z)+4(z-x)

bonjour,


B=3x-(3-3y)+3(z+1)
= 3x-3+3y+3z+3
= 3x+3y+3z

C=(x+y-1)+(x+y+1)-(x+y-z)
= x+y-1+x+y+1 -x-y+z
= 2x-x+2y-y+z
= x+y+z

D=2(x-y)+3(y-z)+4(z-x)+3x
= 2x-2y+3y-3z+4z-4x+3x
= x+y+z

E=x(1-y)+y(1-z)+z(1-x)+xy+yz+xz
= x-xy+y-yz+z-xz+xy+yz+xz
= x+y+z

F=x-[(1-y)-(z+1)]
= x-[1-y-z-1]
= x-1+y+z+1
= x+y+z

B=3x-(3-3y)+3(z+1)= 3x-3+3y+3z+3= 3x+3y+3z
C=(x+y-1)+(x+y+1)-(x+y-z)= x+y-1+x+y+1 -x-y+z= 2x-x+2y-y+z= x+y+z
D=2(x-y)+3(y-z)+4(z-x)+3x= 2x-2y+3y-3z+4z-4x+3x= x+y+z
E=x(1-y)+y(1-z)+z(1-x)+xy+yz+xz = x-xy+y-yz+z-xz+xy+yz+xz= x+y+z
F=x-[(1-y)-(z+1)]= x-[1-y-z-1] = x-1+y+z+1= x+y+z