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

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

Simplify the following expression: x^2(1-3y^2)+x(x y^2-2x)-3y(y-4x^2y)

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

Factorize each of the following expressions: x^3-2x^2y+3x y^2-6y^3

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

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

Simplify each of the following: 2x-{5y-(x-2y)} 2x-[3y-{2x-(y-x)}]

Simplify each of the following: 2x-{5y-(x-2y)} 2x-[3y-{2x-(y-x)}]

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

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