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)
Cho x;y;z thoa man : xyz=1 ; x+y+z=1/x + 1/y+ 1/z . Tinh A=(x^19-1)×(y^5-1)×(z^1980-1)
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 khac 0 thoa nam : 1/x+1/y+1/z=1/(x+y+z)
tinh P=(x25+y25)(y3+z3)(z2006-x2006)
cho x,y,z>0 thoa man x+y+z<=1 chung minh rang 17(x+y+z)+2(1/x+1/y+1/z)=>35
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
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 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