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 algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

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

If x=1,\ y=-2\ a n d\ z=3, find the values of each of the following algebraic expressions: (i) x^3+y^3+z^3-3x y z (ii) 3x y^4-15 x^2y+4z

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

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))

Identify the like terms in each of the following: (i) x^2,\ y^2,2x^2, z^2 (ii) 2x y ,\ y z ,\ 3x ,(y z)/2

Find the values of x, y and z from the following equations: (i) [4 3x5]=[y z1 5] (ii) [x+y3 5+z x y]=[6 2 5 8] (iii) [x+y+z x+z y+z]=[9 5 7]

Multiply: x^2+y^2+z^2-x y+x z+y z\ by x+y-z