Simplify the expression. If not possible, write simplified.

 

4a+5a2+2a2+a2

To simplify the expression \( 4a + 5a^2 + 2a^2 + a^2 \), we follow these steps:

1. Combine like terms for \( a^2 \)-terms and the \( a \)-term.
   - \( 5a^2 + 2a^2 + a^2 = 8a^2 \)
   - The \( a \)-term is \( 4a \).

So the simplified expression is:
\[
8a^2 + 4a
\]

This is the simplest form.

Would you like more details or have any other questions?

Here are five related questions:
1. How do you factor the expression \( 8a^2 + 4a \)?
2. What happens when you set \( 8a^2 + 4a = 0 \)?
3. Can you apply the distributive property to simplify similar expressions?
4. How do you combine terms when there are different variables?
5. What if one of the terms included a constant instead of a variable?

**Tip**: Always look for like terms (terms with the same variable and exponent) when simplifying expressions.

Simplify the expression. If not possible, write simplified: 4a + 5a^2 + 2a^2 + a^2

Learn how to simplify the algebraic expression 4a + 5a^2 + 2a^2 + a^2 by combining like terms. This problem covers key algebraic concepts, such as simplifying expressions and identifying like terms. Suitable for students in Grades 6-8.

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