Cho x,y,z la 3 so khac 0 va x+y+z=0. Tinh gia tri bieu thuc:
(xy/x^2+y^2-z^2) + ( xz/x^2+z^2-yy^2) + (yz/y^2+z^2-x^2)
Cho x,y,z la 3 so thoa man x.y.z=1; x+y+z=1/x+1/y+1?z
Tinh gia tri cua bieu thuc:P=(x^15-1)(y^3-1)(z^2021-1)
a co tong so x ,y z, la 180 biet tong x, y gap 1,456 lan z . Tim x, y, z
tinh gia tri bieu thuc M= 1/ y^2 + z^2 - x^2 + 1/x^2 + y^2 -z^2 + 1/ x^2 + z ^2 - y^2 biet x + y + z = 0
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
CMR voi cac so x y z nguyen thi
bieu thuc sau la 1 so chinh phuong
A=\(\left(x^2+y^2+z^2\right)\left(x+y+z\right)^2+\left(xy+yz+xz\right)^2\)
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 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
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