To simplify the expression \((x^3 - 8x - 8) - (x^3 + 2x^2)\), we follow these steps:

1. Distribute the negative sign in front of the second parenthesis:

\[
(x^3 - 8x - 8) - x^3 - 2x^2
\]

2. Combine like terms:

\[
x^3 - x^3 - 2x^2 - 8x - 8
\]

3. Simplify by canceling out the \(x^3\) terms:

\[
-2x^2 - 8x - 8
\]

The simplified expression is:

\[
-2x^2 - 8x - 8
\]

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**Tip:** When simplifying algebraic expressions, always distribute any negative signs and combine like terms carefully to avoid errors.

Learn how to simplify the expression (x^3 - 8x - 8) - (x^3 + 2x^2) with detailed step-by-step instructions. This problem involves algebraic simplification techniques and is suitable for high school students.

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