To solve the expression $10^2 \times 9 + (12 - 2)^3$, let's break it down step by step:

1. Calculate $10^2$: $10^2 = 100$

2. Multiply by 9: $100 \times 9 = 900$

3. Calculate $12 - 2$: $12 - 2 = 10$

4. Cube the result (10): $10^3 = 1000$

5. Add the two results: $900 + 1000 = 1900$

So, the value of the expression $10^2 \times 9 + (12 - 2)^3$ is 1900.

Would you like more details or have any questions about this solution?

Here are five related questions:

1. What is the result of $8^2 \times 3 + (15 - 7)^2$?
2. How would you solve $5 \times 4^2 + (20 - 5)^3$?
3. What is the value of $6^3 \times 2 + (10 - 3)^2$?
4. Can you calculate $7^2 \times 8 + (14 - 4)^3$?
5. What happens if you change the subtraction in $12 - 2$ to addition?

Tip: Remember to follow the order of operations (PEMDAS/BODMAS) when solving expressions like this.