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`

If x=1,y=-2 and z=3, find the values of each of the following algebraic expressions: x^(3)+y^(3)+z^(3)-3xyz3xy^(4)-15x^(2)y+4z

Write all the terms of each of the following algebraic expressions: (i) 3x^5+5y^4-7x^2y+7 (ii) 9y^3-2z^3+7x^3y-3x y z

If x = 1, y = 2, z = 5 , then find the value of 3x – 2y + 4z.

Add the following expressions: 2x+9y-7z, 3y+z-3x, 3z-4y-x

Identify the like terms in each of the following algebraic expressions: (i) x-2y+3z-4x+3x y (ii) 3a+2b-c+3/2a-4+3b (iii) x y^2+3x^2y-4x^2y^2-5+y^2x-2z^2x+3x z^2

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

Identify the monomials, binomials, trinomials and quadrinomials among the following algebraic expressions: (i) a x+b y+c z+d (ii) 3x y z (iii) x+y+z-x y z

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

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