3/x+3-3x-3/x^2-9+1/x-3

3/x+3-3x-3/x^2-9+1/x-3
This anwser using AI, please
To simplify the expression \( \frac{3}{x} + 3 - 3x - \frac{3}{x^2} - 9 + \frac{1}{x} - 3 \), we will combine like terms and organize it systematically.

1. Combine constant terms:
The constant terms are \( 3 - 9 - 3 \).
Combining these gives:
\( 3 - 9 - 3 = -9 \).

2. Combine terms with \( \frac{1}{x} \):
The terms with \( \frac{1}{x} \) are \( \frac{3}{x} + \frac{1}{x} \).
Combining these gives:
\( \frac{3}{x} + \frac{1}{x} = \frac{4}{x} \).

3. The term with \( -3x \) remains as it is.

4. Combine the term with \( -\frac{3}{x^2} \), which also remains as it is.

Now we rewrite the entire expression with the combined terms:
- From the constants: \( -9 \)
- From \( \frac{1}{x} \): \( \frac{4}{x} \)
- From \( -3x \): it remains as it is.
- And the term \( -\frac{3}{x^2} \).

Putting it all together, the simplified form of the expression is:
\[
-\frac{3}{x^2} - 3x + \frac{4}{x} - 9
\]

This expression has been simplified by combining similar terms. Each independent type of term (constant, linear in \( x \), and rational functions) was handled according to its degree and nature in the algebraic hierarchy.
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