To simplify the expression 15x² – 24x + 9 – 3x + 3, we will start by combining like terms.
First, let’s identify the like terms in the expression:
- The terms with x² are: 15x².
- The terms with x are: -24x and -3x.
- The constant terms are: 9 and 3.
Now, we will combine the coefficients of the like terms:
- For x²: 15x² (there’s only this term).
- For x: -24x – 3x = -27x.
- For the constant terms: 9 + 3 = 12.
Putting it all together, we get:
15x² – 27x + 12.
So, the simplified expression is 15x² – 27x + 12.