To add the rational expressions given in the problem, we first need to identify what they are. However, it seems like the expressions provided might be a bit unclear. Let’s first simplify the expression for \(2x + 3x + 5\).
- Combine like terms for \(2x + 3x\): \[ 2x + 3x = 5x \] So, we have: \[ 5x + 5 \]
This can be written as: \[ 5(x + 1) \]
Since this seems to be a straightforward addition of linear terms and constants, it doesn't seem to directly match any of the options you provided. On reviewing, it appears there are a couple of fractions listed that could represent the expression in different forms.
To analyze the provided choices:
- 5x + 10 over x^2 + 5x: This does not align with our simplified version.
- 13 over x + 5: This form does not correlate either.
- 52x + 5 over 2x + 5: Doesn't match.
- 2x + 8x^2 + 5x: This would need further simplification and doesn't add up to our evaluated expression above.
None of the options given directly correspond to the sum we calculated \(5x + 5\).
If you meant for different expressions or fractions to be added, please clarify the initial terms or the correct notation, and I can provide further assistance!