To simplify the expression 3a4 + 2a2 + 5a + 10 + 2a4 + 4a2 + 5a + 2, we need to combine like terms.
First, let’s group the terms based on their degree:
- Terms with a4: 3a4 + 2a4
- Terms with a2: 2a2 + 4a2
- Terms with a: 5a + 5a
- Constant terms: 10 + 2
Now, we can simplify each group:
- For a4: 3a4 + 2a4 = 5a4
- For a2: 2a2 + 4a2 = 6a2
- For a: 5a + 5a = 10a
- For the constants: 10 + 2 = 12
Putting it all together, we get:
5a4 + 6a2 + 10a + 12
This is the simplified form of the original expression.