To simplify the expression 15x² + 24x + 9 + 3x + 3, you need to combine like terms.
1. **Identify like terms**: In the expression, the terms can be categorized as follows:
- Quadratic term: 15x²
- Linear terms: 24x and 3x
- Constant terms: 9 and 3
2. **Combine the linear terms**: Add the coefficients of the linear terms:
- 24x + 3x = 27x
3. **Combine the constant terms**: Add the constant terms:
- 9 + 3 = 12
4. **Reassemble the expression**: Now, put all the simplified terms together:
- 15x² + 27x + 12
So, the simplified form of the expression 15x² + 24x + 9 + 3x + 3 is: