The value of 52xyz(xy+yz+xz+y2)(z+x)÷104xy(xy+xz+yz+y2) is:
z(z+x)2
52xyz(xy+yz+xz+y2)(z+x)÷104xy(xy+xz+yz+y2)
=52xyz (xy + yz + xz + y2)(z + x)104xy (xy + xz + yz + y2)
=z (xy + yz + xz + y2)(z + x)2(xy + yz + xz + y2)
=12(z)(x+z)
∴ the required value isz(z+x)2