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.

This step-by-step solution explains how to solve the expression 10^2x9+(12-2)^3. It covers key concepts like exponents and the order of operations (PEMDAS/BODMAS), making it ideal for students in Grades 6-8.

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