To simplify the expression \( x^2 - 497x - x^2 \), we can follow these steps:
- Combine like terms: \[ x^2 - x^2 - 497x = -497x. \]
So the expression simplifies to \( -497x \).
However, the provided answer options do not include \( -497x \) directly. Let’s review if we might misinterpret or manipulate the expression on any further observations.
The terms in the options suggest we may need to factor, but here it seems straightforward since there’s no common factor to extract or another variable. The answers seem to explore different expressions, but in terms of simplification, none align directly with what we derived.
While considering the options you presented:
- \( -\frac{(x+7)}{x} \)
- \( \frac{x+7}{x} \)
- \( -\frac{7}{x} \)
- \( -7 \)
None of these match \( -497x \). Thus, it's possible that either the initial expression provided could've been miscommunicated, or the correct expression was transcribed incorrectly.
Thus, none of the provided options would represent the simplest form of \( x^2 - 497x - x^2 \). If the problem intends to express something interconnected with \( -497x \) that could help deduce one of the choices directly leading to one, please double-check the original setup of the expression.
If you need further assistance or guidance, please feel free to ask!
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