Simplify each of the following expressions: `(x+y+z)^2+(x+y/2+z/3)^2-(x/2+y/3+z/4)^2` `(x+y-2z)^2-x^2-y^2-3z^2+4x y` `-(x^2+x+1)^2-(x^2+x+1)^2`

Simplify each of the following expressions: (i) (x+y+z)^2+(x+y/2+z/3)^2-(x/2+y/3+z/4)^2

Simplify: (x+y-2z)^2-x^2-y^2-3z^2+4x y

Simplify each of the following expressions: (x+y+z)^(2)+(x+(y)/(2)+(z)/(3))^(2)-((x)/(2)+(y)/(3)+(z)/(4))^(2)(x+y-2z)^(2)-x^(2)-y^(2)-3z^(2)+4xy-(x^(2)+x+1)^(2)-(x^(2)+x+1)^(2)

Simplify : (x+y+z)^2+(x+y/2+z/3)^2-(x/2+y/3+z/4)^2

Factorize each of the following expressions: x(x^2+y^2-z^2)+y(-x^2-y^2+z^2)-z(x^2+y^2-z^2)

Factorize each of the following expressions: x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))

Simplify: (x+y-2z)^(2)-x^(2)-y^(2)-3z^(2)+4xy

Simplify each of the following: m-[m+{m+n-2m-(m-2n)}-n] 3x^2z-4y z+3x y-{x^2z-(x^2z-3y z)-4y z-7z}

Simplify each of the following: 1. m-[m+{m+n-2m-(m-2n)}-n] 2. 3x^2z-4y z+3x y-{x^2z-(x^2z-3y z)-4y z-7z}

Multiply each of the monomial : 3/4x^2y z^2,\ 0. 5 x y^2z^2,\ 1. 16 x^2y z^3,\ 2x y z