"(2x+3y)^3-(2x-3y)^3

If 2x+3y=14\ a n d\ 2x-3y=2, find the value of x y . [Hint use (2x+3y)^2-(2x-3y)^2=24 x y]

Factorize: (2x-3y)^3+(4z-2x)^3+(3y-4z)^3

Factorize each of the following expressions : . (i) (2x-3y)^3+(4z-2x)^3+(3y-4z)^3 , (ii) 2sqrt(2)a^3+16sqrt(2)b^3+c^3-12 a b c

Factorize: (3x-y)^(2)-(2x-3y)^(2)

Find the continued product: (2x+3y)(2x-3y)(4x^2+9y^2)

Simplify the following (2x - 3y) (2x+3y)

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is

Simplify: (x/2+y/3)^3-\ \ (x/2-y/3)^3

Simplify: (3x+2y)(4x+3y)-\ (2x-y)(7x-3y)

Factorise (2x+3y)^(2)+14(2x+3y)(3x-y)-32(3x-y)^(2) .