developper puis reduire....a=2(x-1)+2(y+2)-2(1+z)............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)+3x......e=x(1-y)+y(1-z)+
Mathématiques
mananoutcha
Question
developper puis reduire....a=2(x-1)+2(y+2)-2(1+z)............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)+3x......e=x(1-y)+y(1-z)+z(1-x)+xy+yz+xz...f=(x+2)(-x-3)+3x²....
1 Réponse
-
1. Réponse Anonyme
Bonjour
a = 2(x - 1) + 2(y + 2) - 2(1 + z)
= 2x - 2 + 2y + 4 - 2 - 2z
= 2x + 2y - 2z
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
= 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 + 2)(-x - 3) + 3x²
= -x² - 3x - 2x - 6 + 3x²
= 2x² - 5x - 6