Question

(1-a³b³)³-(a³b³-1)³-2​

Answer 1

Відповідь:3а^6b^6-3a^3b^3-1

Покрокове пояснення:

Answer 2

Let's simplify the expression $(1 - a^3b^3)^3 - (a^3b^3 - 1)^3 - 2$:

1. Factor the expression:

   $$(1 - a^3b^3)^3 - (a^3b^3 - 1)^3 - 2 = [(1 - a^3b^3) - (a^3b^3 - 1)][(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 2$$

2. Combine like terms:

   $$= (1 - a^3b^3 - a^3b^3 + 1)[(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 2$$
   $$= (2 - 2a^3b^3)[(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 2$$

3. Distribute the constants:

   $$= 2[(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 4a^3b^3 - 4 + 2a^3b^3$$

4. Combine like terms:

   $$= 2[(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 2 - 2a^3b^3$$

So, the simplified expression is $2[(1 - a^3b^3)^2 + (1 - a^3b^3)(a^3b^3 - 1) + (a^3b^3 - 1)^2] - 2 - 2a^3b^3$.