Respuesta :
This expression is the difference of two cubes:
x^3 y^3
----- - -------
2^3 3^3
The rule here is a^3 - b^3 = (a - b)(a^2 + ab + b^2), so
x^3 y^3 x^2 x^3y^3 y^2
----- - ------- = (x/2 - y/3)*(-------- + ----------- + --------- )
2^3 3^3 2^2 6^3 3^2
x^3 y^3
----- - -------
2^3 3^3
The rule here is a^3 - b^3 = (a - b)(a^2 + ab + b^2), so
x^3 y^3 x^2 x^3y^3 y^2
----- - ------- = (x/2 - y/3)*(-------- + ----------- + --------- )
2^3 3^3 2^2 6^3 3^2