Factorise : `((x)/(2)+y+(z)/(3))^(3)+((x)/(3)-(2y)/(3)+z)^(3)-((5x)/(6)+(y)/(3)+(4z)/(3))^(3)`

Factorize: ((x)/(2)+y+(z)/(3))^(3)+((x)/(3)-(2y)/(3)+z)^(3)+(-(5x)/(6)-(y)/(3)-(4z)/(3))^(3)

Factorise : 3x(3x+2z)-4y(y+z)

Factorize: (x/2+y+z/3)^3+\ \ (x/3-(2y)/3+z)^3+(-(5x)/6-y/3-(4z)/3)^3

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

Factorise (x-y)^3+(y-z)^3+(z-x)^3

Factorise : (i) (x-y)^(3)+(y-z)^(3)+(z-x)^(3) (ii) (x-2y)^(3)+(2y-4z)^(3)+(4z-x)^(3) (iv) (3sqrt(2)a-5sqrt(3)b)^(3)+(5sqrt(3)b-7sqrt(5)c)^(3)+(7sqrt(5)c-3sqrt(2)a)^(3) .

Factorise : (i) (x-y)^(3)+(y-z)^(3)+(z-x)^(3) (ii) (x-2y)^(3)+(2y-4z)^(3)+(4z-x)^(3) (iv) (3sqrt(2)a-5sqrt(3)b)^(3)+(5sqrt(3)b-7sqrt(5)c)^(3)+(7sqrt(5)c-3sqrt(2)a)^(3) .

Factorise : (x+y+z)(x^(3)+y^(3)+z^(3)+xyz)-x^(4)-y^(4)-z^(4)

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

x^(3)(y-z)^(3)+y^(3)(z-x)^(3)+z^(3)(x-y)^(3)