Factorize each of the following expressions : (i) `a^3 + a^2 (x-y) - a (y+z) - z` (ii) `(x^2+3x)^2 - 5 (x^2+3x) - y (x^2+3x) + 5y`

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

Factorize each of the following expressions: a^(3)x+a^(2)(x-y)-a(y+z)-z(x^(2)+3x)^(2)-5(x^(2)+3x)-y(x^(2)+3x)+5y

Factorize each of the following expressions: 54x^(6)y+2x^(3)y^(4),8x^(2)y^(3)-x^(5)

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

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 of the expression: a^(3)x+a^(2)(x-y)-a(y+z)-z

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(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

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is

Number of terms in the expression 3x^2+y - 2y^2z - z^2x + 5 is