Is this correct?

subtract (4a^3+2b^3)-(6a^3+5a^2b-2ab^2+2b^3)

answer: -2a^3-5a^2b+2ab^2

correct

(2b^3-5b^2+3ab)(-3b^2)

[(-1/3a^2b^3c)^2*(-9/2ab^2c^2)+(+3/5a^4b^5c^3)^2:(-3/5a^3b^2c^2)]^2:(+11/10a^2b^8c^4)

To subtract the expressions (4a^3+2b^3) - (6a^3+5a^2b-2ab^2+2b^3), follow these steps:

Step 1: Remove parentheses if necessary.
4a^3 + 2b^3 - 6a^3 - 5a^2b + 2ab^2 - 2b^3

Step 2: Group like terms.
(4a^3 - 6a^3) + (2b^3 - 2b^3) - 5a^2b + 2ab^2

Step 3: Combine like terms.
-2a^3 + 0 - 5a^2b + 2ab^2

Step 4: Simplify or rearrange the expression as desired.
-2a^3 - 5a^2b + 2ab^2

Therefore, your answer is -2a^3 - 5a^2b + 2ab^2.