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The expression simplifies to:

\[
\frac{(\sqrt{x} - 2)^2 \left( (x + 6)^3 + (5x - 1)^2 + 1 \right)}{x}
\]

Would you like more details or have any further questions?

Here are 5 related questions:
1. How do we handle square roots in algebraic expressions?
2. What methods can simplify more complex algebraic fractions?
3. How does the distribution of terms impact simplification?
4. Can we factor expressions involving square roots?
5. What are the conditions for an expression like \(\frac{1}{x}\) to be undefined?

**Tip:** Always check the domain of expressions involving square roots and denominators to avoid undefined results.

(x + 6)^3 (√x - 2)^2 + (√x - 2)^2 (5x - 1)^2 / x

Learn how to simplify the complex algebraic expression (x + 6)^3 (√x - 2)^2 + (√x - 2)^2 (5x - 1)^2 / x using algebraic properties such as distributive property and the power of a power rule. This tutorial is suitable for Grades 10-12.

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