To simplify the expression 5x2 + 3x + 4 + 5x2 + 5x + 1, we will follow these steps:
- Identify like terms: We will group the terms that are similar. The expression consists of:
- Quadratic terms: 5x2 and 5x2
- Linear terms: 3x and 5x
- Constant terms: 4 and 1
- Combine the like terms:
- For the quadratic terms: 5x2 + 5x2 = 10x2
- For the linear terms: 3x + 5x = 8x
- For the constant terms: 4 + 1 = 5
- Write the simplified expression: Now, we can combine all the results:
The simplified form of the expression is: 10x2 + 8x + 5.
This roll-up shows that combining like terms can help streamline complex expressions, making calculations easier to understand and manage.