To simplify the expression \(-10x^2 + 20x + 80x + 2\), we first combine like terms.
1. Combine the \(x\) terms: \(20x + 80x = 100x\).
2. So the expression becomes: \(-10x^2 + 100x + 2\).
Now, let's see if this can be further simplified. Since there are no common factors among the coefficients (−10, 100, and 2), the expression remains:
\[-10x^2 + 100x + 2\]
Now we can observe the options provided for the simplified form. None directly match, but if you were expecting a factorization or another form, further analysis could be taken.
It's possible the options given relate to a specific condition or another transformation, but based on standard simplification, the expression remains as \(-10x^2 + 100x + 2\).
Please verify the original expression again if this was indeed the aim or if there's a specific focus in the question. If you need help with a different transformation, let me know!