cho x;y;z la cac so duong doi 1 khac nhau
cmr: n=x^3+y^3+z^3-3xyz>0
thanks ban co cautl nhanh va fe hieu nhat nke!
cho ba so x,y,z khac 0 thoa man x+y+z=2015 va 1/x+1/y+1/z=1/2015 chung minh ba so x,y,z khong ton tai 2 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 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>0 va xyz=1 chung minh rang neu x+y+z>1/x+1/y+1/z thi trong 3 so co it nhat 1 so lon hon 1
cho x y z la cac so doi 1 khac nhau 1/x+1/y+1/z=0 tinhA=yx/x2+2xy +xz/y2+2xy +xy/z2+2xy
tinh tong sau voi x,y,z doi mot khac nhau va khac 0 : F=2013+x/x(x-y)(x-z) + 2013+y/y(y-z)(y-x) + 2013+z/z(z-x)(z-y)
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 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~