1: \(=\dfrac{x+2}{x^2}:\dfrac{x-2+x+2}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{x+2}{x^2}\cdot\dfrac{\left(x+2\right)\left(x-2\right)}{2x}\)
\(=\dfrac{\left(x+2\right)^2\cdot\left(x-2\right)}{2x^3}\)
2: \(=\dfrac{\left(2x-8\right)\left(3x+1\right)+x+10}{3x+1}:\dfrac{\left(3x+2\right)\left(x-6\right)-x+6}{3x+2}\)
\(=\dfrac{6x^2+2x-24x-8+x+10}{3x+1}\cdot\dfrac{3x+2}{3x^2-18x+2x-12-x+6}\)
\(=\dfrac{6x^2-21x+2}{\left(3x+1\right)}\cdot\dfrac{3x+2}{3x^2-18x-6}\)
\(=\dfrac{6x^2-21x+2}{3x+1}\cdot\dfrac{3x+2}{3\left(x^2-6x-2\right)}\)
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