https://file.aiquickdraw.com/mathbot/file/17270446055732qe1d1dm.jpg

The expression in the image is:

\[
\frac{13x^2 + 2x - 1}{x^2(x - 4)}
\]

This is a rational expression. To simplify or analyze it, you could:

1. Factor the numerator if possible.
2. Cancel common factors between the numerator and the denominator, if any.
3. Analyze for restrictions (i.e., values of \( x \) that make the denominator zero).

Let’s first analyze the factors:

- The denominator \( x^2(x - 4) \) is already factored.
- The numerator \( 13x^2 + 2x - 1 \) doesn't appear to factor nicely, as it involves larger prime coefficients.

To analyze further, you can look for any restrictions:
- The denominator is zero when \( x = 0 \) or \( x = 4 \), so these are the restricted values for the expression.

Would you like further details on simplifying this or looking at a specific approach like partial fractions?

Simplify the rational expression (13x^2 + 2x - 1) / (x^2(x - 4))

Learn how to simplify the rational expression (13x^2 + 2x - 1) / (x^2(x - 4)). This example covers algebraic concepts such as factoring quadratics and identifying restrictions. Suitable for students in Grades 10-12.

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