(1.1)³ - 3 × (1.1)² × 0.1 + 3 × 1.1 × (0.1)² =

1)   0.1
2)   1
3)   0.01
4)   -1

The value of the expression \( (1.1)^3 - 3 \times (1.1)^2 \times 0.1 + 3 \times 1.1 \times (0.1)^2 \) is approximately \( 1 \). 

Thus, the correct answer is:
\[
\boxed{1}
\]

Would you like more details or have any questions? Here are some related questions to consider:

1. What is the general expansion of \( (a + b)^3 \)?
2. How do you calculate powers of decimals like \( 1.1^3 \) efficiently?
3. Why do small terms like \( 0.1^2 \) influence the result less than larger terms?
4. How does changing the sign in this expression affect the final result?
5. Can you generalize the pattern for any cubic expression like this one?

**Tip:** Always follow the order of operations (PEMDAS) when dealing with powers, multiplication, and addition in complex expressions.

(1.1)³ - 3 × (1.1)² × 0.1 + 3 × 1.1 × (0.1)² = ?

This page explores the solution of the cubic expansion and simplification of the expression (1.1)³ - 3 × (1.1)² × 0.1 + 3 × 1.1 × (0.1)². It discusses key algebraic concepts like cubic expansion, order of operations, and how to efficiently calculate powers of decimals. Suitable for students in Grades 9-11.

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