cm trong 3 so x,y,z ton tai 1 so bang tong 2 so con lai biet
x.(y-z)^2+y.(x-z)^2+z.(x-y)^2-x^3-y^3-z^3+4xyz=0
CMR neu x,y,z la 3 so phan biet thi M co gia tri la so ngyen M=x^2/(x-y)(x-z) + y^2/(y-z)(y-x) + z^2/(z-x)(z-y)
Cho cac so duong x y z t co tong bang 1
CMR \(\frac{1}{x}+\frac{1}{y}+\frac{4}{z}+\frac{16}{t}\ge64\)
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 x,y,z la cac so nguyen duong thoa man 1/x + 1/y + 1/z = 2015.
Tim GTLN cua bieu thuc P=x+y/x^2+y^2 + y+z/y^2+z^2 + z+x/z^2+x^2
tim hai so biet tong cua chung la 3.neu tang sp thu nhat gap 3 lan va giam so thu hai di hai lan thi tong cua so thu nhat va so thu hai la 39
tong x+y+z thoả mãn x+3/5=y-2/2=z+1/-9 va 5x+3y+z=56
1. viet cac bieu thuc sau duoi dang tong
a) (2x+3y)2 ; (0,01+xy)2
b) (x-2y).(x-2y) ; (56.64)
c) (x-y+z).(x+y+z)
d) (x+y+z).(x-y-z)
e) (x+1).(x-1)
Cho x,y,z la cac so thuc duong thoa man x + y + z = 6
Tim GTNN cua bieu thuc P = ( x + y )/(xyz)