\(=\dfrac{\left(2005-1\right)\left(2005+2\right)+6}{2005^2+2005+4}\)
\(=\dfrac{2005^2+2005-2+6}{2005^2+2005+4}=1\)
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\(=\dfrac{\left(2005-1\right)\left(2005+2\right)+6}{2005^2+2005+4}\)
\(=\dfrac{2005^2+2005-2+6}{2005^2+2005+4}=1\)