To simplify the expression 2x + 4y + 3x^2 + 7y + 16x, we will first combine like terms.
1. Identify the like terms:
- The terms with ‘x’: 2x and 16x
- The terms with ‘y’: 4y and 7y
- The term with ‘x^2’: 3x^2
2. Combine the ‘x’ terms:
- 2x + 16x = 18x
3. Combine the ‘y’ terms:
- 4y + 7y = 11y
4. The term with ‘x^2’ remains as it is since there are no other like terms:
- 3x^2
5. Now, put it all together:
The simplified expression is 3x^2 + 18x + 11y.