cho x, y, z la cac so duing doi mot khac nhau
cm: x^3+y^3+z^3-3xyz>0
cac ban tl nhanh giup mik nka.thanks ban co cau tl hay~
cho x,y,z la cac so duong doi 1khac nhau
CM: n= x^3 +y^3 +z^3 -3xyz >0
Cho x,y,z khac nhau va :1/x+1/y+1/z=1/x+y+z
CMR trong 3 so x,y,z co it nhat 1 cap so doi nhau
Cho x y z la cac so huu ti doi mot khac nhau va khac khong thoa man x+1/y=y+1/z=z+1/x Chung minh xyz=1 hoac xyz=-1
Cho x3+y3+z3=3xyz va x+y+z khac 0.Tinh
P=(1+x/y)*(1+y/z)*(1+z/x)
cho x,y,z thuoc Q va doi mot khac nhau. cmr 1/ (x-y)^2+1/(y-z)^2+1/(z-x)^2 la binh phuong cua 1 so huu ti
Cho x,y,z la cac so duong va x+y+z =1 .Tim GTLN cua M =xy+yz+zx
cho a,b,c,d khac 0 va x=2a^2 +b^2 -2cd; y= 2b^2 +c^2 - 2ad;z=2c^2+d^2-2ab;t=2d^2+a^2-2bc. CMR: trong 4 so x,y,z,t co it nhat 2 so duong
cho x,y,z la cac so thuc duong thoa man x+y+z=1 tim gia tri nho nhat cua bieu thuc M=1/16x+1/4y+1/z