先化简, 再求值: $$ {\displaylines\frac{x^2-1}{x+2}\cdot\frac{x^2+4x+4}{x^2-x}\cdot\frac{1}{x+1},\text{ 其中}x=6.\\ } $$

Learn how to simplify and evaluate the rational expression (x^2 - 1)/(x + 2) * (x^2 + 4x + 4)/(x^2 - x) * (1)/(x + 1) with a detailed step-by-step solution. This problem involves algebraic manipulation and rational expressions, suitable for advanced high school students.

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