(a^3b^3-1)^3-(1+a^3b^3)^3+6a^6b^6=-2

(a^3 * b^3 - 1)^3 - (1 + a^3 * b^3)^3 + 6 * a^6 * b^6 = -2;

(a^3 * b^3)^3 – 3 * (a^3 * b^3)^2 * 1 + 3 * a^3 * b^3 * 1^2 + 1^3 – (1^3 + 3 * (a^3 * b^3)^2 * 1 + 3 * a^3 * b^3 * 1^2 + (a^3 * b^3)^3) = -2;

(a^3 * b^3)^3 – 3 * (a^3 * b^3)^2  + 3 * a^3 * b^3  + 1 – 1 - 3 * (a^3 * b^3)^2  - 3 * a^3 * b^3  - (a^3 * b^3)^3) = -2;

Сгруппируем подобные значения и вычислим их выражения.

((a^3 * b^3)^3  - (a^3 * b^3)^3) – (3 * (a^3 * b^3)^2  + 3 * (a^3 * b^3)^2 ) + (3 * a^3 * b^3 - 3 * a^3 * b^3)   + (1 – 1) = -2;

-6 * (a^3 * b^3)^2  = -2;

6 * (a^3 * b^3)^2 = 2;

6 * a^6 * b^6 = 2;

a^6 * b^6 = 1/3.