The given expression is:

\[
(X^2 + 1) + (X^3 + 2X^2 + 10)
\]

To simplify, we combine like terms:

1. \(X^2\) terms: \(X^2 + 2X^2 = 3X^2\)
2. \(X^3\) term: There is only one \(X^3\), so it remains \(X^3\).
3. Constant terms: \(1 + 10 = 11\)

Thus, the simplified expression is:

\[
X^3 + 3X^2 + 11
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would you factor the expression \(X^3 + 3X^2 + 11\)?
2. What happens if you substitute \(X = 1\) into the expression?
3. How do you handle polynomials of higher degrees like \(X^4\)?
4. How does the expression change if you multiply it by a constant, say 2?
5. How would you graph \(X^3 + 3X^2 + 11\)?

**Tip:** Always look for like terms first when simplifying algebraic expressions.

This solution simplifies the polynomial expression (X²+1) + (X³+2X²+10) by combining like terms. Learn how to simplify polynomials step-by-step, focusing on algebraic techniques, such as handling higher-degree terms like X^3. Suitable for students in Grades 8-10.

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