Question - Simplifying an Algebraic Expression Involving Fractions and Polynomials

We need to simplify the given algebraic expression:

\[\frac{11 + x}{x^3} + 2x(5 - x)\]

First, distribute \(2x\) across the parenthesis:

\[2x \cdot 5 - 2x \cdot x\]

\[10x - 2x^2\]

The expression becomes:

\[\frac{11 + x}{x^3} + 10x - 2x^2\]

Since there is no common denominator, the expression is already simplified. However, if the problem requires combining like terms or a common denominator for some reason, additional context would be needed.