Question

(2а^3-3b2)^2-(2a^3+b^2)=

Answer 1

(2a^3 - 3b^2)^2 - (2a^3 + b^2) = 4a^6 - 12a^3b^2 + 9b^4 - 2a^3 - b^2

Answer 2

To simplify this expression, we can use the identity:

(a - b)^2 = a^2 - 2ab + b^2

We can see that the expression in question has a similar structure, with (2a^3 - 3b^2) taking the place of (a), and (2a^3 + b^2) taking the place of (b). Therefore, we can rewrite the expression as:

(2a^3 - 3b^2)^2 - (2a^3 + b^2) = (2a^3)^2 - 2(2a^3)(3b^2) + (3b^2)^2 - (2a^3) - (b^2) = 4a^6 - 12a^3b^2 + 9b^4 - 2a^3 - b^2

This is the simplified expression.