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 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: (i) 3-12(a-b)^2 (ii) x(x+z)-y(y+z)

Factorize each of the following expressions: 3-12(a-b)^(2) (ii) x(x+z)-y(y+z)

Factorize each of the following expressions: x a^2+x b^2-y a^2-y b^2 (2) x^2+x y a+x z+y z (3) 2a x+b x+2a y+b y (4) a b-b y-a y+y^2

Factorise the following expressions : x^2 y z + x y^2z + x y z^2

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

Evaluate each of the following expressions for x=-2,\ y=-1,\ z=3: (i) x/y+y/z+z/x (ii) x^2+y^2+z^2-x y-y z-z x

Evaluate each of the following expressions for x=-2,\ y=-1,\ z=3: (i) x/y+y/z+z/x (ii) x^2+y^2+z^2-x y-y z-z x

Factorization by taking out the common factors: x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))