To find the sum of the given expressions, we need to first combine like terms. The expressions provided are:
- 3x²
- 5x
- 8
- 5x²
- 13x
- 5
Let’s group the like terms together:
- Quadratic terms (x²): 3x² and 5x²
- Linear terms (x): 5x and 13x
- Constant terms: 8 and 5
Now, calculate the sum for each group:
- For the quadratic terms: 3x² + 5x² = (3 + 5)x² = 8x²
- For the linear terms: 5x + 13x = (5 + 13)x = 18x
- For the constant terms: 8 + 5 = (8 + 5) = 13
Now, combine all the results:
The final sum of the entire expression is:
8x² + 18x + 13
So, the simplified expression is 8x² + 18x + 13.