Simplify each expression by combining similar terms. a²b²+3a²b²-a²b²

Let's simplify the given expression:

\[
a^2b^2 + 3a^2b^2 - a^2b^2
\]

We can combine like terms, where the terms with \(a^2b^2\) can be added or subtracted:

\[
(1a^2b^2 + 3a^2b^2 - 1a^2b^2)
\]

This simplifies to:

\[
(1 + 3 - 1) a^2b^2 = 3a^2b^2
\]

So, the simplified expression is:

\[
3a^2b^2
\]

Would you like any further clarification on this? 

Here are 5 related questions for you:
1. How do you combine like terms with different powers?
2. What are some real-life applications of expressions like \( a^2b^2 \)?
3. Can you simplify expressions with variables raised to different powers?
4. How would you factor \( 3a^2b^2 \)?
5. What happens when you multiply terms with exponents, such as \( a^2 \times b^2 \)?

**Tip**: Always look for common factors or terms that have the same variable powers when combining like terms!

Learn how to simplify the algebraic expression a²b² + 3a²b² - a²b² by combining like terms. This problem covers essential algebra concepts such as polynomial simplification and properties of addition. Suitable for students in Grades 6-8.

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