The expression `(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)` has to be evaluated.

`(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)`

=> `(6xy^2(4x^2+2x^2y^2-3x^3y))/(6xy^2)`

=> `4x^2+2x^2y^2-3x^3y`

**The required result is 4x^2+2x^2y^2-3x^3y**

The expression `(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)` has to be evaluated.

`(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)`

=> `(6xy^2(4x^2+2x^2y^2-3x^3y))/(6xy^2)`

=> `4x^2+2x^2y^2-3x^3y`

**The required result is 4x^2+2x^2y^2-3x^3y**